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Finding the Fourth Proportional to 406,203.20, 609,409.92 and 237,865.76

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Solution

The fourth proportional to 406,203.20, 609,409.92 and 237,865.76 is: 356,860.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,203.20 : 609,409.92 = 237,865.76 : x
  2. Step 2: Convert to fraction form
    406,203.20/609,409.92 = 237,865.76/x
  3. Step 3: Cross multiply
    406,203.20x = 609,409.92 × 237,865.76
  4. Step 4: Simplify right side
    406,203.20x = 144,957,753,772.34
  5. Step 5: Solve for x
    x = 144,957,753,772.34/406,203.20
  6. Step 6: Final answer
    x = 356,860.20

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