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Finding the Fourth Proportional to 338,442.96, 466,839.60 and 217,741.44

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Solution

The fourth proportional to 338,442.96, 466,839.60 and 217,741.44 is: 300,347.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,442.96 : 466,839.60 = 217,741.44 : x
  2. Step 2: Convert to fraction form
    338,442.96/466,839.60 = 217,741.44/x
  3. Step 3: Cross multiply
    338,442.96x = 466,839.60 × 217,741.44
  4. Step 4: Simplify right side
    338,442.96x = 101,650,326,753.02
  5. Step 5: Solve for x
    x = 101,650,326,753.02/338,442.96
  6. Step 6: Final answer
    x = 300,347.00

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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.