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Finding the Fourth Proportional to 422,013.64, 633,017.72 and 106,470.85

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Solution

The fourth proportional to 422,013.64, 633,017.72 and 106,470.85 is: 159,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,013.64 : 633,017.72 = 106,470.85 : x
  2. Step 2: Convert to fraction form
    422,013.64/633,017.72 = 106,470.85/x
  3. Step 3: Cross multiply
    422,013.64x = 633,017.72 × 106,470.85
  4. Step 4: Simplify right side
    422,013.64x = 67,397,931,016.02
  5. Step 5: Solve for x
    x = 67,397,931,016.02/422,013.64
  6. Step 6: Final answer
    x = 159,705.58

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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.