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Finding the Fourth Proportional to 415,422.16, 573,357.24 and 396,490.06

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Solution

The fourth proportional to 415,422.16, 573,357.24 and 396,490.06 is: 547,227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,422.16 : 573,357.24 = 396,490.06 : x
  2. Step 2: Convert to fraction form
    415,422.16/573,357.24 = 396,490.06/x
  3. Step 3: Cross multiply
    415,422.16x = 573,357.24 × 396,490.06
  4. Step 4: Simplify right side
    415,422.16x = 227,330,446,489.03
  5. Step 5: Solve for x
    x = 227,330,446,489.03/415,422.16
  6. Step 6: Final answer
    x = 547,227.54

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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.