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Finding the Fourth Proportional to 453,360.57, 680,016.24 and 137,792.88

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Solution

The fourth proportional to 453,360.57, 680,016.24 and 137,792.88 is: 206,681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,360.57 : 680,016.24 = 137,792.88 : x
  2. Step 2: Convert to fraction form
    453,360.57/680,016.24 = 137,792.88/x
  3. Step 3: Cross multiply
    453,360.57x = 680,016.24 × 137,792.88
  4. Step 4: Simplify right side
    453,360.57x = 93,701,396,156.37
  5. Step 5: Solve for x
    x = 93,701,396,156.37/453,360.57
  6. Step 6: Final answer
    x = 206,681.84

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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.