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Finding the Fourth Proportional to 731,598.52, 1,009,645.22 and 409,289.40

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Solution

The fourth proportional to 731,598.52, 1,009,645.22 and 409,289.40 is: 564,841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,598.52 : 1,009,645.22 = 409,289.40 : x
  2. Step 2: Convert to fraction form
    731,598.52/1,009,645.22 = 409,289.40/x
  3. Step 3: Cross multiply
    731,598.52x = 1,009,645.22 × 409,289.40
  4. Step 4: Simplify right side
    731,598.52x = 413,237,086,306.67
  5. Step 5: Solve for x
    x = 413,237,086,306.67/731,598.52
  6. Step 6: Final answer
    x = 564,841.34

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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.