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Finding the Fourth Proportional to 271,267.80, 406,901.70 and 176,789.40

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Solution

The fourth proportional to 271,267.80, 406,901.70 and 176,789.40 is: 265,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,267.80 : 406,901.70 = 176,789.40 : x
  2. Step 2: Convert to fraction form
    271,267.80/406,901.70 = 176,789.40/x
  3. Step 3: Cross multiply
    271,267.80x = 406,901.70 × 176,789.40
  4. Step 4: Simplify right side
    271,267.80x = 71,935,907,401.98
  5. Step 5: Solve for x
    x = 71,935,907,401.98/271,267.80
  6. Step 6: Final answer
    x = 265,184.10

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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.