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Finding the Fourth Proportional to 689,419.32, 951,330.33 and 431,246.40

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Solution

The fourth proportional to 689,419.32, 951,330.33 and 431,246.40 is: 595,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,419.32 : 951,330.33 = 431,246.40 : x
  2. Step 2: Convert to fraction form
    689,419.32/951,330.33 = 431,246.40/x
  3. Step 3: Cross multiply
    689,419.32x = 951,330.33 × 431,246.40
  4. Step 4: Simplify right side
    689,419.32x = 410,257,780,023.31
  5. Step 5: Solve for x
    x = 410,257,780,023.31/689,419.32
  6. Step 6: Final answer
    x = 595,077.29

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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.