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Finding the Fourth Proportional to 431,513.60, 595,744.19 and 383,634.71

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Solution

The fourth proportional to 431,513.60, 595,744.19 and 383,634.71 is: 529,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,513.60 : 595,744.19 = 383,634.71 : x
  2. Step 2: Convert to fraction form
    431,513.60/595,744.19 = 383,634.71/x
  3. Step 3: Cross multiply
    431,513.60x = 595,744.19 × 383,634.71
  4. Step 4: Simplify right side
    431,513.60x = 228,548,147,545.20
  5. Step 5: Solve for x
    x = 228,548,147,545.20/431,513.60
  6. Step 6: Final answer
    x = 529,642.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.