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Finding the Fourth Proportional to 334,086, 461,253.72 and 298,214.64

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Solution

The fourth proportional to 334,086, 461,253.72 and 298,214.64 is: 411,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,086 : 461,253.72 = 298,214.64 : x
  2. Step 2: Convert to fraction form
    334,086/461,253.72 = 298,214.64/x
  3. Step 3: Cross multiply
    334,086x = 461,253.72 × 298,214.64
  4. Step 4: Simplify right side
    334,086x = 137,552,612,058.46
  5. Step 5: Solve for x
    x = 137,552,612,058.46/334,086
  6. Step 6: Final answer
    x = 411,728.15

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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.