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Finding the Fourth Proportional to 547,136.40, 820,013.40 and 487,693.20

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Solution

The fourth proportional to 547,136.40, 820,013.40 and 487,693.20 is: 730,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,136.40 : 820,013.40 = 487,693.20 : x
  2. Step 2: Convert to fraction form
    547,136.40/820,013.40 = 487,693.20/x
  3. Step 3: Cross multiply
    547,136.40x = 820,013.40 × 487,693.20
  4. Step 4: Simplify right side
    547,136.40x = 399,914,959,088.88
  5. Step 5: Solve for x
    x = 399,914,959,088.88/547,136.40
  6. Step 6: Final answer
    x = 730,923.69

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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.