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Finding the Fourth Proportional to 543,061.92, 814,420.08 and 227,460

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Solution

The fourth proportional to 543,061.92, 814,420.08 and 227,460 is: 341,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,061.92 : 814,420.08 = 227,460 : x
  2. Step 2: Convert to fraction form
    543,061.92/814,420.08 = 227,460/x
  3. Step 3: Cross multiply
    543,061.92x = 814,420.08 × 227,460
  4. Step 4: Simplify right side
    543,061.92x = 185,247,991,396.80
  5. Step 5: Solve for x
    x = 185,247,991,396.80/543,061.92
  6. Step 6: Final answer
    x = 341,117.62

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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.