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Finding the Fourth Proportional to 543,709.80, 814,580.55 and 464,977.80

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Solution

The fourth proportional to 543,709.80, 814,580.55 and 464,977.80 is: 696,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,709.80 : 814,580.55 = 464,977.80 : x
  2. Step 2: Convert to fraction form
    543,709.80/814,580.55 = 464,977.80/x
  3. Step 3: Cross multiply
    543,709.80x = 814,580.55 × 464,977.80
  4. Step 4: Simplify right side
    543,709.80x = 378,761,872,061.79
  5. Step 5: Solve for x
    x = 378,761,872,061.79/543,709.80
  6. Step 6: Final answer
    x = 696,625.06

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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.