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Finding the Fourth Proportional to 415,197.34, 572,974.50 and 233,917.18

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Solution

The fourth proportional to 415,197.34, 572,974.50 and 233,917.18 is: 322,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,197.34 : 572,974.50 = 233,917.18 : x
  2. Step 2: Convert to fraction form
    415,197.34/572,974.50 = 233,917.18/x
  3. Step 3: Cross multiply
    415,197.34x = 572,974.50 × 233,917.18
  4. Step 4: Simplify right side
    415,197.34x = 134,028,579,251.91
  5. Step 5: Solve for x
    x = 134,028,579,251.91/415,197.34
  6. Step 6: Final answer
    x = 322,806.93

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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.