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Finding the Fourth Proportional to 415,142.96, 572,863.24 and 233,797.04

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Solution

The fourth proportional to 415,142.96, 572,863.24 and 233,797.04 is: 322,620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,142.96 : 572,863.24 = 233,797.04 : x
  2. Step 2: Convert to fraction form
    415,142.96/572,863.24 = 233,797.04/x
  3. Step 3: Cross multiply
    415,142.96x = 572,863.24 × 233,797.04
  4. Step 4: Simplify right side
    415,142.96x = 133,933,729,836.81
  5. Step 5: Solve for x
    x = 133,933,729,836.81/415,142.96
  6. Step 6: Final answer
    x = 322,620.74

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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.