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Finding the Fourth Proportional to 463,105.40, 694,658.10 and 147,585.40

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Solution

The fourth proportional to 463,105.40, 694,658.10 and 147,585.40 is: 221,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,105.40 : 694,658.10 = 147,585.40 : x
  2. Step 2: Convert to fraction form
    463,105.40/694,658.10 = 147,585.40/x
  3. Step 3: Cross multiply
    463,105.40x = 694,658.10 × 147,585.40
  4. Step 4: Simplify right side
    463,105.40x = 102,521,393,551.74
  5. Step 5: Solve for x
    x = 102,521,393,551.74/463,105.40
  6. Step 6: Final answer
    x = 221,378.10

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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.