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Finding the Fourth Proportional to 275,590.80, 413,386.20 and 231,304.05

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Solution

The fourth proportional to 275,590.80, 413,386.20 and 231,304.05 is: 346,956.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,590.80 : 413,386.20 = 231,304.05 : x
  2. Step 2: Convert to fraction form
    275,590.80/413,386.20 = 231,304.05/x
  3. Step 3: Cross multiply
    275,590.80x = 413,386.20 × 231,304.05
  4. Step 4: Simplify right side
    275,590.80x = 95,617,902,274.11
  5. Step 5: Solve for x
    x = 95,617,902,274.11/275,590.80
  6. Step 6: Final answer
    x = 346,956.08

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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.