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Finding the Fourth Proportional to 435,585.12, 653,239.44 and 140,028

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Solution

The fourth proportional to 435,585.12, 653,239.44 and 140,028 is: 209,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,585.12 : 653,239.44 = 140,028 : x
  2. Step 2: Convert to fraction form
    435,585.12/653,239.44 = 140,028/x
  3. Step 3: Cross multiply
    435,585.12x = 653,239.44 × 140,028
  4. Step 4: Simplify right side
    435,585.12x = 91,471,812,304.32
  5. Step 5: Solve for x
    x = 91,471,812,304.32/435,585.12
  6. Step 6: Final answer
    x = 209,997.56

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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.