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Finding the Fourth Proportional to 296,135.76, 408,677.20 and 161,999.76

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Solution

The fourth proportional to 296,135.76, 408,677.20 and 161,999.76 is: 223,565.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,135.76 : 408,677.20 = 161,999.76 : x
  2. Step 2: Convert to fraction form
    296,135.76/408,677.20 = 161,999.76/x
  3. Step 3: Cross multiply
    296,135.76x = 408,677.20 × 161,999.76
  4. Step 4: Simplify right side
    296,135.76x = 66,205,608,317.47
  5. Step 5: Solve for x
    x = 66,205,608,317.47/296,135.76
  6. Step 6: Final answer
    x = 223,565.06

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1.5x scale

Why These Related Problems?

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