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Finding the Fourth Proportional to 422,437.67, 633,657.82 and 106,894.47

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Solution

The fourth proportional to 422,437.67, 633,657.82 and 106,894.47 is: 160,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,437.67 : 633,657.82 = 106,894.47 : x
  2. Step 2: Convert to fraction form
    422,437.67/633,657.82 = 106,894.47/x
  3. Step 3: Cross multiply
    422,437.67x = 633,657.82 × 106,894.47
  4. Step 4: Simplify right side
    422,437.67x = 67,734,516,830.26
  5. Step 5: Solve for x
    x = 67,734,516,830.26/422,437.67
  6. Step 6: Final answer
    x = 160,342.04

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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.