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Finding the Fourth Proportional to 294,708.38, 406,697.56 and 160,572.38

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Solution

The fourth proportional to 294,708.38, 406,697.56 and 160,572.38 is: 221,589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,708.38 : 406,697.56 = 160,572.38 : x
  2. Step 2: Convert to fraction form
    294,708.38/406,697.56 = 160,572.38/x
  3. Step 3: Cross multiply
    294,708.38x = 406,697.56 × 160,572.38
  4. Step 4: Simplify right side
    294,708.38x = 65,304,392,714.47
  5. Step 5: Solve for x
    x = 65,304,392,714.47/294,708.38
  6. Step 6: Final answer
    x = 221,589.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.