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Finding the Fourth Proportional to 422,426.55, 633,641.91 and 106,883.76

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Solution

The fourth proportional to 422,426.55, 633,641.91 and 106,883.76 is: 160,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,426.55 : 633,641.91 = 106,883.76 : x
  2. Step 2: Convert to fraction form
    422,426.55/633,641.91 = 106,883.76/x
  3. Step 3: Cross multiply
    422,426.55x = 633,641.91 × 106,883.76
  4. Step 4: Simplify right side
    422,426.55x = 67,726,029,834.38
  5. Step 5: Solve for x
    x = 67,726,029,834.38/422,426.55
  6. Step 6: Final answer
    x = 160,326.17

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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.