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Finding the Fourth Proportional to 412,546.97, 618,341.55 and 156,216.55

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Solution

The fourth proportional to 412,546.97, 618,341.55 and 156,216.55 is: 234,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,546.97 : 618,341.55 = 156,216.55 : x
  2. Step 2: Convert to fraction form
    412,546.97/618,341.55 = 156,216.55/x
  3. Step 3: Cross multiply
    412,546.97x = 618,341.55 × 156,216.55
  4. Step 4: Simplify right side
    412,546.97x = 96,595,182,690.38
  5. Step 5: Solve for x
    x = 96,595,182,690.38/412,546.97
  6. Step 6: Final answer
    x = 234,143.48

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1.5x scale

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.