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Finding the Fourth Proportional to 731,610.84, 1,009,662.18 and 409,301.72

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Solution

The fourth proportional to 731,610.84, 1,009,662.18 and 409,301.72 is: 564,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,610.84 : 1,009,662.18 = 409,301.72 : x
  2. Step 2: Convert to fraction form
    731,610.84/1,009,662.18 = 409,301.72/x
  3. Step 3: Cross multiply
    731,610.84x = 1,009,662.18 × 409,301.72
  4. Step 4: Simplify right side
    731,610.84x = 413,256,466,892.95
  5. Step 5: Solve for x
    x = 413,256,466,892.95/731,610.84
  6. Step 6: Final answer
    x = 564,858.32

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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.