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Finding the Fourth Proportional to 513,193.37, 708,178.27 and 283,737.38

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Solution

The fourth proportional to 513,193.37, 708,178.27 and 283,737.38 is: 391,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,193.37 : 708,178.27 = 283,737.38 : x
  2. Step 2: Convert to fraction form
    513,193.37/708,178.27 = 283,737.38/x
  3. Step 3: Cross multiply
    513,193.37x = 708,178.27 × 283,737.38
  4. Step 4: Simplify right side
    513,193.37x = 200,936,646,902.73
  5. Step 5: Solve for x
    x = 200,936,646,902.73/513,193.37
  6. Step 6: Final answer
    x = 391,541.78

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.