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Finding the Fourth Proportional to 496,729.69, 745,101.38 and 141,743.61

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Solution

The fourth proportional to 496,729.69, 745,101.38 and 141,743.61 is: 212,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,729.69 : 745,101.38 = 141,743.61 : x
  2. Step 2: Convert to fraction form
    496,729.69/745,101.38 = 141,743.61/x
  3. Step 3: Cross multiply
    496,729.69x = 745,101.38 × 141,743.61
  4. Step 4: Simplify right side
    496,729.69x = 105,613,354,982.96
  5. Step 5: Solve for x
    x = 105,613,354,982.96/496,729.69
  6. Step 6: Final answer
    x = 212,617.36

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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.