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Finding the Fourth Proportional to 543,046.20, 814,569.30 and 507,616.80

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Solution

The fourth proportional to 543,046.20, 814,569.30 and 507,616.80 is: 761,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,046.20 : 814,569.30 = 507,616.80 : x
  2. Step 2: Convert to fraction form
    543,046.20/814,569.30 = 507,616.80/x
  3. Step 3: Cross multiply
    543,046.20x = 814,569.30 × 507,616.80
  4. Step 4: Simplify right side
    543,046.20x = 413,489,061,444.24
  5. Step 5: Solve for x
    x = 413,489,061,444.24/543,046.20
  6. Step 6: Final answer
    x = 761,425.20

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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.