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Finding the Fourth Proportional to 345,738.43, 477,209.37 and 225,210.43

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Solution

The fourth proportional to 345,738.43, 477,209.37 and 225,210.43 is: 310,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,738.43 : 477,209.37 = 225,210.43 : x
  2. Step 2: Convert to fraction form
    345,738.43/477,209.37 = 225,210.43/x
  3. Step 3: Cross multiply
    345,738.43x = 477,209.37 × 225,210.43
  4. Step 4: Simplify right side
    345,738.43x = 107,472,527,417.73
  5. Step 5: Solve for x
    x = 107,472,527,417.73/345,738.43
  6. Step 6: Final answer
    x = 310,849.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.