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Finding the Fourth Proportional to 543,005.70, 814,897.35 and 227,688.90

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Solution

The fourth proportional to 543,005.70, 814,897.35 and 227,688.90 is: 341,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,005.70 : 814,897.35 = 227,688.90 : x
  2. Step 2: Convert to fraction form
    543,005.70/814,897.35 = 227,688.90/x
  3. Step 3: Cross multiply
    543,005.70x = 814,897.35 × 227,688.90
  4. Step 4: Simplify right side
    543,005.70x = 185,543,081,234.42
  5. Step 5: Solve for x
    x = 185,543,081,234.42/543,005.70
  6. Step 6: Final answer
    x = 341,696.38

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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.