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Finding the Fourth Proportional to 408,071.38, 563,139.66 and 226,782.76

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Solution

The fourth proportional to 408,071.38, 563,139.66 and 226,782.76 is: 312,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,071.38 : 563,139.66 = 226,782.76 : x
  2. Step 2: Convert to fraction form
    408,071.38/563,139.66 = 226,782.76/x
  3. Step 3: Cross multiply
    408,071.38x = 563,139.66 × 226,782.76
  4. Step 4: Simplify right side
    408,071.38x = 127,710,366,360.26
  5. Step 5: Solve for x
    x = 127,710,366,360.26/408,071.38
  6. Step 6: Final answer
    x = 312,960.85

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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.