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Finding the Fourth Proportional to 415,627.24, 573,182.94 and 262,399.24

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Solution

The fourth proportional to 415,627.24, 573,182.94 and 262,399.24 is: 361,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,627.24 : 573,182.94 = 262,399.24 : x
  2. Step 2: Convert to fraction form
    415,627.24/573,182.94 = 262,399.24/x
  3. Step 3: Cross multiply
    415,627.24x = 573,182.94 × 262,399.24
  4. Step 4: Simplify right side
    415,627.24x = 150,402,767,836.97
  5. Step 5: Solve for x
    x = 150,402,767,836.97/415,627.24
  6. Step 6: Final answer
    x = 361,869.37

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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.