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Finding the Fourth Proportional to 437,141.96, 655,655.51 and 137,624.10

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Solution

The fourth proportional to 437,141.96, 655,655.51 and 137,624.10 is: 206,418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,141.96 : 655,655.51 = 137,624.10 : x
  2. Step 2: Convert to fraction form
    437,141.96/655,655.51 = 137,624.10/x
  3. Step 3: Cross multiply
    437,141.96x = 655,655.51 × 137,624.10
  4. Step 4: Simplify right side
    437,141.96x = 90,233,998,785.67
  5. Step 5: Solve for x
    x = 90,233,998,785.67/437,141.96
  6. Step 6: Final answer
    x = 206,418.07

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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.