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Finding the Fourth Proportional to 418,960.46, 628,539.11 and 138,477.71

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Solution

The fourth proportional to 418,960.46, 628,539.11 and 138,477.71 is: 207,749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,960.46 : 628,539.11 = 138,477.71 : x
  2. Step 2: Convert to fraction form
    418,960.46/628,539.11 = 138,477.71/x
  3. Step 3: Cross multiply
    418,960.46x = 628,539.11 × 138,477.71
  4. Step 4: Simplify right side
    418,960.46x = 87,038,655,905.85
  5. Step 5: Solve for x
    x = 87,038,655,905.85/418,960.46
  6. Step 6: Final answer
    x = 207,749.09

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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.