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Finding the Fourth Proportional to 409,572.96, 614,359.44 and 160,080

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Solution

The fourth proportional to 409,572.96, 614,359.44 and 160,080 is: 240,120.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,572.96 : 614,359.44 = 160,080 : x
  2. Step 2: Convert to fraction form
    409,572.96/614,359.44 = 160,080/x
  3. Step 3: Cross multiply
    409,572.96x = 614,359.44 × 160,080
  4. Step 4: Simplify right side
    409,572.96x = 98,346,659,155.20
  5. Step 5: Solve for x
    x = 98,346,659,155.20/409,572.96
  6. Step 6: Final answer
    x = 240,120.00

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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.