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Finding the Fourth Proportional to 408,296.95, 563,423.14 and 227,002.17

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Solution

The fourth proportional to 408,296.95, 563,423.14 and 227,002.17 is: 313,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,296.95 : 563,423.14 = 227,002.17 : x
  2. Step 2: Convert to fraction form
    408,296.95/563,423.14 = 227,002.17/x
  3. Step 3: Cross multiply
    408,296.95x = 563,423.14 × 227,002.17
  4. Step 4: Simplify right side
    408,296.95x = 127,898,276,220.18
  5. Step 5: Solve for x
    x = 127,898,276,220.18/408,296.95
  6. Step 6: Final answer
    x = 313,248.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.