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Finding the Fourth Proportional to 310,882.56, 466,207.20 and 100,464

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Solution

The fourth proportional to 310,882.56, 466,207.20 and 100,464 is: 150,658.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,882.56 : 466,207.20 = 100,464 : x
  2. Step 2: Convert to fraction form
    310,882.56/466,207.20 = 100,464/x
  3. Step 3: Cross multiply
    310,882.56x = 466,207.20 × 100,464
  4. Step 4: Simplify right side
    310,882.56x = 46,837,040,140.80
  5. Step 5: Solve for x
    x = 46,837,040,140.80/310,882.56
  6. Step 6: Final answer
    x = 150,658.31

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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.