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Finding the Fourth Proportional to 408,004.90, 563,035.53 and 226,712.14

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Solution

The fourth proportional to 408,004.90, 563,035.53 and 226,712.14 is: 312,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,004.90 : 563,035.53 = 226,712.14 : x
  2. Step 2: Convert to fraction form
    408,004.90/563,035.53 = 226,712.14/x
  3. Step 3: Cross multiply
    408,004.90x = 563,035.53 × 226,712.14
  4. Step 4: Simplify right side
    408,004.90x = 127,646,989,902.33
  5. Step 5: Solve for x
    x = 127,646,989,902.33/408,004.90
  6. Step 6: Final answer
    x = 312,856.51

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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.