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Finding the Fourth Proportional to 689,416.59, 951,344.96 and 431,408.91

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Solution

The fourth proportional to 689,416.59, 951,344.96 and 431,408.91 is: 595,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,416.59 : 951,344.96 = 431,408.91 : x
  2. Step 2: Convert to fraction form
    689,416.59/951,344.96 = 431,408.91/x
  3. Step 3: Cross multiply
    689,416.59x = 951,344.96 × 431,408.91
  4. Step 4: Simplify right side
    689,416.59x = 410,418,690,070.55
  5. Step 5: Solve for x
    x = 410,418,690,070.55/689,416.59
  6. Step 6: Final answer
    x = 595,313.05

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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.