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Finding the Fourth Proportional to 408,004.80, 563,039.13 and 226,713.42

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Solution

The fourth proportional to 408,004.80, 563,039.13 and 226,713.42 is: 312,860.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,004.80 : 563,039.13 = 226,713.42 : x
  2. Step 2: Convert to fraction form
    408,004.80/563,039.13 = 226,713.42/x
  3. Step 3: Cross multiply
    408,004.80x = 563,039.13 × 226,713.42
  4. Step 4: Simplify right side
    408,004.80x = 127,648,526,756.13
  5. Step 5: Solve for x
    x = 127,648,526,756.13/408,004.80
  6. Step 6: Final answer
    x = 312,860.36

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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.