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Finding the Fourth Proportional to 416,114.79, 574,235.99 and 225,124.08

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Solution

The fourth proportional to 416,114.79, 574,235.99 and 225,124.08 is: 310,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,114.79 : 574,235.99 = 225,124.08 : x
  2. Step 2: Convert to fraction form
    416,114.79/574,235.99 = 225,124.08/x
  3. Step 3: Cross multiply
    416,114.79x = 574,235.99 × 225,124.08
  4. Step 4: Simplify right side
    416,114.79x = 129,274,346,516.85
  5. Step 5: Solve for x
    x = 129,274,346,516.85/416,114.79
  6. Step 6: Final answer
    x = 310,669.92

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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.