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Finding the Fourth Proportional to 431,650.60, 647,535.02 and 147,264.86

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Solution

The fourth proportional to 431,650.60, 647,535.02 and 147,264.86 is: 220,917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,650.60 : 647,535.02 = 147,264.86 : x
  2. Step 2: Convert to fraction form
    431,650.60/647,535.02 = 147,264.86/x
  3. Step 3: Cross multiply
    431,650.60x = 647,535.02 × 147,264.86
  4. Step 4: Simplify right side
    431,650.60x = 95,359,154,065.40
  5. Step 5: Solve for x
    x = 95,359,154,065.40/431,650.60
  6. Step 6: Final answer
    x = 220,917.46

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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.