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Finding the Fourth Proportional to 546,655.80, 819,983.70 and 496,792.20

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Solution

The fourth proportional to 546,655.80, 819,983.70 and 496,792.20 is: 745,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,655.80 : 819,983.70 = 496,792.20 : x
  2. Step 2: Convert to fraction form
    546,655.80/819,983.70 = 496,792.20/x
  3. Step 3: Cross multiply
    546,655.80x = 819,983.70 × 496,792.20
  4. Step 4: Simplify right side
    546,655.80x = 407,361,506,287.14
  5. Step 5: Solve for x
    x = 407,361,506,287.14/546,655.80
  6. Step 6: Final answer
    x = 745,188.30

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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.