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Finding the Fourth Proportional to 360,099.48, 496,781.16 and 216,776.48

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Solution

The fourth proportional to 360,099.48, 496,781.16 and 216,776.48 is: 299,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,099.48 : 496,781.16 = 216,776.48 : x
  2. Step 2: Convert to fraction form
    360,099.48/496,781.16 = 216,776.48/x
  3. Step 3: Cross multiply
    360,099.48x = 496,781.16 × 216,776.48
  4. Step 4: Simplify right side
    360,099.48x = 107,690,471,195.12
  5. Step 5: Solve for x
    x = 107,690,471,195.12/360,099.48
  6. Step 6: Final answer
    x = 299,057.56

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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.