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Finding the Fourth Proportional to 271,402.30, 407,103.45 and 176,923.90

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Solution

The fourth proportional to 271,402.30, 407,103.45 and 176,923.90 is: 265,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,402.30 : 407,103.45 = 176,923.90 : x
  2. Step 2: Convert to fraction form
    271,402.30/407,103.45 = 176,923.90/x
  3. Step 3: Cross multiply
    271,402.30x = 407,103.45 × 176,923.90
  4. Step 4: Simplify right side
    271,402.30x = 72,026,330,077.46
  5. Step 5: Solve for x
    x = 72,026,330,077.46/271,402.30
  6. Step 6: Final answer
    x = 265,385.85

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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.