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Finding the Fourth Proportional to 349,382, 482,144.26 and 196,420.87

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Solution

The fourth proportional to 349,382, 482,144.26 and 196,420.87 is: 271,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,382 : 482,144.26 = 196,420.87 : x
  2. Step 2: Convert to fraction form
    349,382/482,144.26 = 196,420.87/x
  3. Step 3: Cross multiply
    349,382x = 482,144.26 × 196,420.87
  4. Step 4: Simplify right side
    349,382x = 94,703,195,014.71
  5. Step 5: Solve for x
    x = 94,703,195,014.71/349,382
  6. Step 6: Final answer
    x = 271,059.17

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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.