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Finding the Fourth Proportional to 320,390.32, 442,120.80 and 177,141.76

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Solution

The fourth proportional to 320,390.32, 442,120.80 and 177,141.76 is: 244,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,390.32 : 442,120.80 = 177,141.76 : x
  2. Step 2: Convert to fraction form
    320,390.32/442,120.80 = 177,141.76/x
  3. Step 3: Cross multiply
    320,390.32x = 442,120.80 × 177,141.76
  4. Step 4: Simplify right side
    320,390.32x = 78,318,056,644.61
  5. Step 5: Solve for x
    x = 78,318,056,644.61/320,390.32
  6. Step 6: Final answer
    x = 244,445.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.