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Finding the Fourth Proportional to 416,232.66, 574,401.06 and 225,246.06

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Solution

The fourth proportional to 416,232.66, 574,401.06 and 225,246.06 is: 310,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,232.66 : 574,401.06 = 225,246.06 : x
  2. Step 2: Convert to fraction form
    416,232.66/574,401.06 = 225,246.06/x
  3. Step 3: Cross multiply
    416,232.66x = 574,401.06 × 225,246.06
  4. Step 4: Simplify right side
    416,232.66x = 129,381,575,624.82
  5. Step 5: Solve for x
    x = 129,381,575,624.82/416,232.66
  6. Step 6: Final answer
    x = 310,839.56

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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.