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Finding the Fourth Proportional to 416,238.68, 574,409.34 and 225,252.08

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Solution

The fourth proportional to 416,238.68, 574,409.34 and 225,252.08 is: 310,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,238.68 : 574,409.34 = 225,252.08 : x
  2. Step 2: Convert to fraction form
    416,238.68/574,409.34 = 225,252.08/x
  3. Step 3: Cross multiply
    416,238.68x = 574,409.34 × 225,252.08
  4. Step 4: Simplify right side
    416,238.68x = 129,386,898,606.43
  5. Step 5: Solve for x
    x = 129,386,898,606.43/416,238.68
  6. Step 6: Final answer
    x = 310,847.85

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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.