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Finding the Fourth Proportional to 513,196.36, 708,182.42 and 283,740.38

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Solution

The fourth proportional to 513,196.36, 708,182.42 and 283,740.38 is: 391,545.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,196.36 : 708,182.42 = 283,740.38 : x
  2. Step 2: Convert to fraction form
    513,196.36/708,182.42 = 283,740.38/x
  3. Step 3: Cross multiply
    513,196.36x = 708,182.42 × 283,740.38
  4. Step 4: Simplify right side
    513,196.36x = 200,939,948,960.12
  5. Step 5: Solve for x
    x = 200,939,948,960.12/513,196.36
  6. Step 6: Final answer
    x = 391,545.94

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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.