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Finding the Fourth Proportional to 500,810.74, 691,358.15 and 285,909.23

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Solution

The fourth proportional to 500,810.74, 691,358.15 and 285,909.23 is: 394,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,810.74 : 691,358.15 = 285,909.23 : x
  2. Step 2: Convert to fraction form
    500,810.74/691,358.15 = 285,909.23/x
  3. Step 3: Cross multiply
    500,810.74x = 691,358.15 × 285,909.23
  4. Step 4: Simplify right side
    500,810.74x = 197,665,678,763.89
  5. Step 5: Solve for x
    x = 197,665,678,763.89/500,810.74
  6. Step 6: Final answer
    x = 394,691.38

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Double scale
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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.