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Finding the Fourth Proportional to 513,478.08, 708,545.20 and 283,998.88

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Solution

The fourth proportional to 513,478.08, 708,545.20 and 283,998.88 is: 391,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,478.08 : 708,545.20 = 283,998.88 : x
  2. Step 2: Convert to fraction form
    513,478.08/708,545.20 = 283,998.88/x
  3. Step 3: Cross multiply
    513,478.08x = 708,545.20 × 283,998.88
  4. Step 4: Simplify right side
    513,478.08x = 201,226,043,229.38
  5. Step 5: Solve for x
    x = 201,226,043,229.38/513,478.08
  6. Step 6: Final answer
    x = 391,888.28

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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.