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Finding the Fourth Proportional to 650,489.40, 975,734.10 and 493,025.40

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Solution

The fourth proportional to 650,489.40, 975,734.10 and 493,025.40 is: 739,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,489.40 : 975,734.10 = 493,025.40 : x
  2. Step 2: Convert to fraction form
    650,489.40/975,734.10 = 493,025.40/x
  3. Step 3: Cross multiply
    650,489.40x = 975,734.10 × 493,025.40
  4. Step 4: Simplify right side
    650,489.40x = 481,061,694,946.14
  5. Step 5: Solve for x
    x = 481,061,694,946.14/650,489.40
  6. Step 6: Final answer
    x = 739,538.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.