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Finding the Fourth Proportional to 271,904.10, 407,856.15 and 177,425.70

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Solution

The fourth proportional to 271,904.10, 407,856.15 and 177,425.70 is: 266,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,904.10 : 407,856.15 = 177,425.70 : x
  2. Step 2: Convert to fraction form
    271,904.10/407,856.15 = 177,425.70/x
  3. Step 3: Cross multiply
    271,904.10x = 407,856.15 × 177,425.70
  4. Step 4: Simplify right side
    271,904.10x = 72,364,162,913.06
  5. Step 5: Solve for x
    x = 72,364,162,913.06/271,904.10
  6. Step 6: Final answer
    x = 266,138.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.