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Finding the Fourth Proportional to 416,640.16, 574,962.33 and 225,652.96

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Solution

The fourth proportional to 416,640.16, 574,962.33 and 225,652.96 is: 311,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,640.16 : 574,962.33 = 225,652.96 : x
  2. Step 2: Convert to fraction form
    416,640.16/574,962.33 = 225,652.96/x
  3. Step 3: Cross multiply
    416,640.16x = 574,962.33 × 225,652.96
  4. Step 4: Simplify right side
    416,640.16x = 129,741,951,653.00
  5. Step 5: Solve for x
    x = 129,741,951,653.00/416,640.16
  6. Step 6: Final answer
    x = 311,400.49

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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.