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Finding the Fourth Proportional to 683,658.65, 943,472.27 and 429,150.17

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Solution

The fourth proportional to 683,658.65, 943,472.27 and 429,150.17 is: 592,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,658.65 : 943,472.27 = 429,150.17 : x
  2. Step 2: Convert to fraction form
    683,658.65/943,472.27 = 429,150.17/x
  3. Step 3: Cross multiply
    683,658.65x = 943,472.27 × 429,150.17
  4. Step 4: Simplify right side
    683,658.65x = 404,891,285,060.79
  5. Step 5: Solve for x
    x = 404,891,285,060.79/683,658.65
  6. Step 6: Final answer
    x = 592,241.88

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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.