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Finding the Fourth Proportional to 408,041.64, 563,100.57 and 226,770.57

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Solution

The fourth proportional to 408,041.64, 563,100.57 and 226,770.57 is: 312,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,041.64 : 563,100.57 = 226,770.57 : x
  2. Step 2: Convert to fraction form
    408,041.64/563,100.57 = 226,770.57/x
  3. Step 3: Cross multiply
    408,041.64x = 563,100.57 × 226,770.57
  4. Step 4: Simplify right side
    408,041.64x = 127,694,637,226.23
  5. Step 5: Solve for x
    x = 127,694,637,226.23/408,041.64
  6. Step 6: Final answer
    x = 312,945.11

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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.