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Finding the Fourth Proportional to 296,591.20, 409,293.72 and 160,621.99

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Solution

The fourth proportional to 296,591.20, 409,293.72 and 160,621.99 is: 221,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,591.20 : 409,293.72 = 160,621.99 : x
  2. Step 2: Convert to fraction form
    296,591.20/409,293.72 = 160,621.99/x
  3. Step 3: Cross multiply
    296,591.20x = 409,293.72 × 160,621.99
  4. Step 4: Simplify right side
    296,591.20x = 65,741,573,085.39
  5. Step 5: Solve for x
    x = 65,741,573,085.39/296,591.20
  6. Step 6: Final answer
    x = 221,657.19

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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.