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Finding the Fourth Proportional to 543,114.30, 814,963.05 and 227,603.10

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Solution

The fourth proportional to 543,114.30, 814,963.05 and 227,603.10 is: 341,526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,114.30 : 814,963.05 = 227,603.10 : x
  2. Step 2: Convert to fraction form
    543,114.30/814,963.05 = 227,603.10/x
  3. Step 3: Cross multiply
    543,114.30x = 814,963.05 × 227,603.10
  4. Step 4: Simplify right side
    543,114.30x = 185,488,116,565.46
  5. Step 5: Solve for x
    x = 185,488,116,565.46/543,114.30
  6. Step 6: Final answer
    x = 341,526.85

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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.