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Finding the Fourth Proportional to 415,175.42, 572,939.51 and 233,945.75

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Solution

The fourth proportional to 415,175.42, 572,939.51 and 233,945.75 is: 322,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,175.42 : 572,939.51 = 233,945.75 : x
  2. Step 2: Convert to fraction form
    415,175.42/572,939.51 = 233,945.75/x
  3. Step 3: Cross multiply
    415,175.42x = 572,939.51 × 233,945.75
  4. Step 4: Simplify right side
    415,175.42x = 134,036,759,337.16
  5. Step 5: Solve for x
    x = 134,036,759,337.16/415,175.42
  6. Step 6: Final answer
    x = 322,843.68

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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.