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Finding the Fourth Proportional to 463,318.70, 694,394.85 and 410,830.70

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Solution

The fourth proportional to 463,318.70, 694,394.85 and 410,830.70 is: 615,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,318.70 : 694,394.85 = 410,830.70 : x
  2. Step 2: Convert to fraction form
    463,318.70/694,394.85 = 410,830.70/x
  3. Step 3: Cross multiply
    463,318.70x = 694,394.85 × 410,830.70
  4. Step 4: Simplify right side
    463,318.70x = 285,278,722,301.90
  5. Step 5: Solve for x
    x = 285,278,722,301.90/463,318.70
  6. Step 6: Final answer
    x = 615,728.92

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Why These Related Problems?

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