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Finding the Fourth Proportional to 418,197.14, 576,056.76 and 337,398.56

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Solution

The fourth proportional to 418,197.14, 576,056.76 and 337,398.56 is: 464,758.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,197.14 : 576,056.76 = 337,398.56 : x
  2. Step 2: Convert to fraction form
    418,197.14/576,056.76 = 337,398.56/x
  3. Step 3: Cross multiply
    418,197.14x = 576,056.76 × 337,398.56
  4. Step 4: Simplify right side
    418,197.14x = 194,360,721,302.27
  5. Step 5: Solve for x
    x = 194,360,721,302.27/418,197.14
  6. Step 6: Final answer
    x = 464,758.61

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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.