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Finding the Fourth Proportional to 465,229.52, 697,836.17 and 254,752.64

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Solution

The fourth proportional to 465,229.52, 697,836.17 and 254,752.64 is: 382,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,229.52 : 697,836.17 = 254,752.64 : x
  2. Step 2: Convert to fraction form
    465,229.52/697,836.17 = 254,752.64/x
  3. Step 3: Cross multiply
    465,229.52x = 697,836.17 × 254,752.64
  4. Step 4: Simplify right side
    465,229.52x = 177,775,603,742.69
  5. Step 5: Solve for x
    x = 177,775,603,742.69/465,229.52
  6. Step 6: Final answer
    x = 382,124.52

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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.