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Finding the Fourth Proportional to 306,220.92, 459,424.76 and 156,566.31

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Solution

The fourth proportional to 306,220.92, 459,424.76 and 156,566.31 is: 234,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,220.92 : 459,424.76 = 156,566.31 : x
  2. Step 2: Convert to fraction form
    306,220.92/459,424.76 = 156,566.31/x
  3. Step 3: Cross multiply
    306,220.92x = 459,424.76 × 156,566.31
  4. Step 4: Simplify right side
    306,220.92x = 71,930,438,613.00
  5. Step 5: Solve for x
    x = 71,930,438,613.00/306,220.92
  6. Step 6: Final answer
    x = 234,897.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.