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Finding the Fourth Proportional to 487,720.80, 733,136.40 and 459,727.20

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Solution

The fourth proportional to 487,720.80, 733,136.40 and 459,727.20 is: 691,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,720.80 : 733,136.40 = 459,727.20 : x
  2. Step 2: Convert to fraction form
    487,720.80/733,136.40 = 459,727.20/x
  3. Step 3: Cross multiply
    487,720.80x = 733,136.40 × 459,727.20
  4. Step 4: Simplify right side
    487,720.80x = 337,042,744,390.08
  5. Step 5: Solve for x
    x = 337,042,744,390.08/487,720.80
  6. Step 6: Final answer
    x = 691,056.74

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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.