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Finding the Fourth Proportional to 413,775.29, 571,010.40 and 232,487.09

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Solution

The fourth proportional to 413,775.29, 571,010.40 and 232,487.09 is: 320,832.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,775.29 : 571,010.40 = 232,487.09 : x
  2. Step 2: Convert to fraction form
    413,775.29/571,010.40 = 232,487.09/x
  3. Step 3: Cross multiply
    413,775.29x = 571,010.40 × 232,487.09
  4. Step 4: Simplify right side
    413,775.29x = 132,752,543,400.68
  5. Step 5: Solve for x
    x = 132,752,543,400.68/413,775.29
  6. Step 6: Final answer
    x = 320,832.46

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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.