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Finding the Fourth Proportional to 486,823.27, 730,304.02 and 149,891.93

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Solution

The fourth proportional to 486,823.27, 730,304.02 and 149,891.93 is: 224,859.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,823.27 : 730,304.02 = 149,891.93 : x
  2. Step 2: Convert to fraction form
    486,823.27/730,304.02 = 149,891.93/x
  3. Step 3: Cross multiply
    486,823.27x = 730,304.02 × 149,891.93
  4. Step 4: Simplify right side
    486,823.27x = 109,466,679,044.56
  5. Step 5: Solve for x
    x = 109,466,679,044.56/486,823.27
  6. Step 6: Final answer
    x = 224,859.18

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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.