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Finding the Fourth Proportional to 463,125.33, 694,359.95 and 178,574.76

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Solution

The fourth proportional to 463,125.33, 694,359.95 and 178,574.76 is: 267,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,125.33 : 694,359.95 = 178,574.76 : x
  2. Step 2: Convert to fraction form
    463,125.33/694,359.95 = 178,574.76/x
  3. Step 3: Cross multiply
    463,125.33x = 694,359.95 × 178,574.76
  4. Step 4: Simplify right side
    463,125.33x = 123,995,160,531.99
  5. Step 5: Solve for x
    x = 123,995,160,531.99/463,125.33
  6. Step 6: Final answer
    x = 267,735.65

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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.