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Finding the Fourth Proportional to 731,517.13, 1,009,495.13 and 409,232.62

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Solution

The fourth proportional to 731,517.13, 1,009,495.13 and 409,232.62 is: 564,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,517.13 : 1,009,495.13 = 409,232.62 : x
  2. Step 2: Convert to fraction form
    731,517.13/1,009,495.13 = 409,232.62/x
  3. Step 3: Cross multiply
    731,517.13x = 1,009,495.13 × 409,232.62
  4. Step 4: Simplify right side
    731,517.13x = 413,118,336,927.14
  5. Step 5: Solve for x
    x = 413,118,336,927.14/731,517.13
  6. Step 6: Final answer
    x = 564,741.85

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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.