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Finding the Fourth Proportional to 496,734.72, 745,227.84 and 141,750

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Solution

The fourth proportional to 496,734.72, 745,227.84 and 141,750 is: 212,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,734.72 : 745,227.84 = 141,750 : x
  2. Step 2: Convert to fraction form
    496,734.72/745,227.84 = 141,750/x
  3. Step 3: Cross multiply
    496,734.72x = 745,227.84 × 141,750
  4. Step 4: Simplify right side
    496,734.72x = 105,636,046,320
  5. Step 5: Solve for x
    x = 105,636,046,320/496,734.72
  6. Step 6: Final answer
    x = 212,660.89

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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.