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Finding the Fourth Proportional to 349,377.28, 482,157.74 and 196,463.61

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Solution

The fourth proportional to 349,377.28, 482,157.74 and 196,463.61 is: 271,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,377.28 : 482,157.74 = 196,463.61 : x
  2. Step 2: Convert to fraction form
    349,377.28/482,157.74 = 196,463.61/x
  3. Step 3: Cross multiply
    349,377.28x = 482,157.74 × 196,463.61
  4. Step 4: Simplify right side
    349,377.28x = 94,726,450,681.00
  5. Step 5: Solve for x
    x = 94,726,450,681.00/349,377.28
  6. Step 6: Final answer
    x = 271,129.40

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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.