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Finding the Fourth Proportional to 543,712.80, 814,585.05 and 464,980.80

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Solution

The fourth proportional to 543,712.80, 814,585.05 and 464,980.80 is: 696,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,712.80 : 814,585.05 = 464,980.80 : x
  2. Step 2: Convert to fraction form
    543,712.80/814,585.05 = 464,980.80/x
  3. Step 3: Cross multiply
    543,712.80x = 814,585.05 × 464,980.80
  4. Step 4: Simplify right side
    543,712.80x = 378,766,408,217.04
  5. Step 5: Solve for x
    x = 378,766,408,217.04/543,712.80
  6. Step 6: Final answer
    x = 696,629.56

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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.