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Finding the Fourth Proportional to 334,081, 461,246.82 and 298,209.64

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Solution

The fourth proportional to 334,081, 461,246.82 and 298,209.64 is: 411,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,081 : 461,246.82 = 298,209.64 : x
  2. Step 2: Convert to fraction form
    334,081/461,246.82 = 298,209.64/x
  3. Step 3: Cross multiply
    334,081x = 461,246.82 × 298,209.64
  4. Step 4: Simplify right side
    334,081x = 137,548,248,143.35
  5. Step 5: Solve for x
    x = 137,548,248,143.35/334,081
  6. Step 6: Final answer
    x = 411,721.25

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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.