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Finding the Fourth Proportional to 294,239.42, 406,048.78 and 165,177.86

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Solution

The fourth proportional to 294,239.42, 406,048.78 and 165,177.86 is: 227,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,239.42 : 406,048.78 = 165,177.86 : x
  2. Step 2: Convert to fraction form
    294,239.42/406,048.78 = 165,177.86/x
  3. Step 3: Cross multiply
    294,239.42x = 406,048.78 × 165,177.86
  4. Step 4: Simplify right side
    294,239.42x = 67,070,268,067.14
  5. Step 5: Solve for x
    x = 67,070,268,067.14/294,239.42
  6. Step 6: Final answer
    x = 227,944.53

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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.