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Finding the Fourth Proportional to 416,152.24, 574,228.51 and 252,723.75

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Solution

The fourth proportional to 416,152.24, 574,228.51 and 252,723.75 is: 348,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,152.24 : 574,228.51 = 252,723.75 : x
  2. Step 2: Convert to fraction form
    416,152.24/574,228.51 = 252,723.75/x
  3. Step 3: Cross multiply
    416,152.24x = 574,228.51 × 252,723.75
  4. Step 4: Simplify right side
    416,152.24x = 145,121,181,140.49
  5. Step 5: Solve for x
    x = 145,121,181,140.49/416,152.24
  6. Step 6: Final answer
    x = 348,721.38

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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.