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Finding the Fourth Proportional to 271,023.46, 407,121.80 and 176,204.87

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Solution

The fourth proportional to 271,023.46, 407,121.80 and 176,204.87 is: 264,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,023.46 : 407,121.80 = 176,204.87 : x
  2. Step 2: Convert to fraction form
    271,023.46/407,121.80 = 176,204.87/x
  3. Step 3: Cross multiply
    271,023.46x = 407,121.80 × 176,204.87
  4. Step 4: Simplify right side
    271,023.46x = 71,736,842,962.14
  5. Step 5: Solve for x
    x = 71,736,842,962.14/271,023.46
  6. Step 6: Final answer
    x = 264,688.69

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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.