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Finding the Fourth Proportional to 546,856.29, 820,226.61 and 147,472.38

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Solution

The fourth proportional to 546,856.29, 820,226.61 and 147,472.38 is: 221,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,856.29 : 820,226.61 = 147,472.38 : x
  2. Step 2: Convert to fraction form
    546,856.29/820,226.61 = 147,472.38/x
  3. Step 3: Cross multiply
    546,856.29x = 820,226.61 × 147,472.38
  4. Step 4: Simplify right side
    546,856.29x = 120,960,770,316.03
  5. Step 5: Solve for x
    x = 120,960,770,316.03/546,856.29
  6. Step 6: Final answer
    x = 221,192.98

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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.