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Finding the Fourth Proportional to 731,597.52, 1,009,643.84 and 409,288.40

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Solution

The fourth proportional to 731,597.52, 1,009,643.84 and 409,288.40 is: 564,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,597.52 : 1,009,643.84 = 409,288.40 : x
  2. Step 2: Convert to fraction form
    731,597.52/1,009,643.84 = 409,288.40/x
  3. Step 3: Cross multiply
    731,597.52x = 1,009,643.84 × 409,288.40
  4. Step 4: Simplify right side
    731,597.52x = 413,235,511,843.46
  5. Step 5: Solve for x
    x = 413,235,511,843.46/731,597.52
  6. Step 6: Final answer
    x = 564,839.96

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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.