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Finding the Fourth Proportional to 416,481.16, 574,733.46 and 232,721.32

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Solution

The fourth proportional to 416,481.16, 574,733.46 and 232,721.32 is: 321,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,481.16 : 574,733.46 = 232,721.32 : x
  2. Step 2: Convert to fraction form
    416,481.16/574,733.46 = 232,721.32/x
  3. Step 3: Cross multiply
    416,481.16x = 574,733.46 × 232,721.32
  4. Step 4: Simplify right side
    416,481.16x = 133,752,729,459.37
  5. Step 5: Solve for x
    x = 133,752,729,459.37/416,481.16
  6. Step 6: Final answer
    x = 321,149.53

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1.5x scale

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.