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Finding the Fourth Proportional to 296,180.82, 408,599.68 and 173,611.06

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Solution

The fourth proportional to 296,180.82, 408,599.68 and 173,611.06 is: 239,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,180.82 : 408,599.68 = 173,611.06 : x
  2. Step 2: Convert to fraction form
    296,180.82/408,599.68 = 173,611.06/x
  3. Step 3: Cross multiply
    296,180.82x = 408,599.68 × 173,611.06
  4. Step 4: Simplify right side
    296,180.82x = 70,937,423,560.46
  5. Step 5: Solve for x
    x = 70,937,423,560.46/296,180.82
  6. Step 6: Final answer
    x = 239,507.15

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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.