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Finding the Fourth Proportional to 407,585.40, 562,534.80 and 237,819.12

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Solution

The fourth proportional to 407,585.40, 562,534.80 and 237,819.12 is: 328,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,585.40 : 562,534.80 = 237,819.12 : x
  2. Step 2: Convert to fraction form
    407,585.40/562,534.80 = 237,819.12/x
  3. Step 3: Cross multiply
    407,585.40x = 562,534.80 × 237,819.12
  4. Step 4: Simplify right side
    407,585.40x = 133,781,531,105.38
  5. Step 5: Solve for x
    x = 133,781,531,105.38/407,585.40
  6. Step 6: Final answer
    x = 328,229.45

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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.