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Finding the Fourth Proportional to 408,002.29, 563,035.69 and 226,710.92

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Solution

The fourth proportional to 408,002.29, 563,035.69 and 226,710.92 is: 312,856.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,002.29 : 563,035.69 = 226,710.92 : x
  2. Step 2: Convert to fraction form
    408,002.29/563,035.69 = 226,710.92/x
  3. Step 3: Cross multiply
    408,002.29x = 563,035.69 × 226,710.92
  4. Step 4: Simplify right side
    408,002.29x = 127,646,339,272.74
  5. Step 5: Solve for x
    x = 127,646,339,272.74/408,002.29
  6. Step 6: Final answer
    x = 312,856.92

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1.5x scale

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.