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Finding the Fourth Proportional to 413,769.12, 571,001.76 and 234,921.12

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Solution

The fourth proportional to 413,769.12, 571,001.76 and 234,921.12 is: 324,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,769.12 : 571,001.76 = 234,921.12 : x
  2. Step 2: Convert to fraction form
    413,769.12/571,001.76 = 234,921.12/x
  3. Step 3: Cross multiply
    413,769.12x = 571,001.76 × 234,921.12
  4. Step 4: Simplify right side
    413,769.12x = 134,140,372,981.17
  5. Step 5: Solve for x
    x = 134,140,372,981.17/413,769.12
  6. Step 6: Final answer
    x = 324,191.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.