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Finding the Fourth Proportional to 296,450.60, 409,101.96 and 160,484.55

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Solution

The fourth proportional to 296,450.60, 409,101.96 and 160,484.55 is: 221,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,450.60 : 409,101.96 = 160,484.55 : x
  2. Step 2: Convert to fraction form
    296,450.60/409,101.96 = 160,484.55/x
  3. Step 3: Cross multiply
    296,450.60x = 409,101.96 × 160,484.55
  4. Step 4: Simplify right side
    296,450.60x = 65,654,541,909.21
  5. Step 5: Solve for x
    x = 65,654,541,909.21/296,450.60
  6. Step 6: Final answer
    x = 221,468.74

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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.