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Finding the Fourth Proportional to 486,681.80, 729,893.10 and 149,721.80

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Solution

The fourth proportional to 486,681.80, 729,893.10 and 149,721.80 is: 224,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,681.80 : 729,893.10 = 149,721.80 : x
  2. Step 2: Convert to fraction form
    486,681.80/729,893.10 = 149,721.80/x
  3. Step 3: Cross multiply
    486,681.80x = 729,893.10 × 149,721.80
  4. Step 4: Simplify right side
    486,681.80x = 109,280,908,739.58
  5. Step 5: Solve for x
    x = 109,280,908,739.58/486,681.80
  6. Step 6: Final answer
    x = 224,542.83

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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.