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Finding the Fourth Proportional to 322,757.30, 484,139.47 and 98,154.26

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Solution

The fourth proportional to 322,757.30, 484,139.47 and 98,154.26 is: 147,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,757.30 : 484,139.47 = 98,154.26 : x
  2. Step 2: Convert to fraction form
    322,757.30/484,139.47 = 98,154.26/x
  3. Step 3: Cross multiply
    322,757.30x = 484,139.47 × 98,154.26
  4. Step 4: Simplify right side
    322,757.30x = 47,520,351,414.64
  5. Step 5: Solve for x
    x = 47,520,351,414.64/322,757.30
  6. Step 6: Final answer
    x = 147,232.46

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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.