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Finding the Fourth Proportional to 271,295.80, 406,943.70 and 176,817.40

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Solution

The fourth proportional to 271,295.80, 406,943.70 and 176,817.40 is: 265,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,295.80 : 406,943.70 = 176,817.40 : x
  2. Step 2: Convert to fraction form
    271,295.80/406,943.70 = 176,817.40/x
  3. Step 3: Cross multiply
    271,295.80x = 406,943.70 × 176,817.40
  4. Step 4: Simplify right side
    271,295.80x = 71,954,726,980.38
  5. Step 5: Solve for x
    x = 71,954,726,980.38/271,295.80
  6. Step 6: Final answer
    x = 265,226.10

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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.