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Finding the Fourth Proportional to 348,126, 480,414.36 and 197,233.20

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Solution

The fourth proportional to 348,126, 480,414.36 and 197,233.20 is: 272,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,126 : 480,414.36 = 197,233.20 : x
  2. Step 2: Convert to fraction form
    348,126/480,414.36 = 197,233.20/x
  3. Step 3: Cross multiply
    348,126x = 480,414.36 × 197,233.20
  4. Step 4: Simplify right side
    348,126x = 94,753,661,548.75
  5. Step 5: Solve for x
    x = 94,753,661,548.75/348,126
  6. Step 6: Final answer
    x = 272,182.09

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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.