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Finding the Fourth Proportional to 349,384.92, 482,148.27 and 196,423.77

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Solution

The fourth proportional to 349,384.92, 482,148.27 and 196,423.77 is: 271,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,384.92 : 482,148.27 = 196,423.77 : x
  2. Step 2: Convert to fraction form
    349,384.92/482,148.27 = 196,423.77/x
  3. Step 3: Cross multiply
    349,384.92x = 482,148.27 × 196,423.77
  4. Step 4: Simplify right side
    349,384.92x = 94,705,380,892.38
  5. Step 5: Solve for x
    x = 94,705,380,892.38/349,384.92
  6. Step 6: Final answer
    x = 271,063.16

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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.