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Finding the Fourth Proportional to 294,514.61, 406,419.49 and 179,984.86

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Solution

The fourth proportional to 294,514.61, 406,419.49 and 179,984.86 is: 248,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,514.61 : 406,419.49 = 179,984.86 : x
  2. Step 2: Convert to fraction form
    294,514.61/406,419.49 = 179,984.86/x
  3. Step 3: Cross multiply
    294,514.61x = 406,419.49 × 179,984.86
  4. Step 4: Simplify right side
    294,514.61x = 73,149,355,008.92
  5. Step 5: Solve for x
    x = 73,149,355,008.92/294,514.61
  6. Step 6: Final answer
    x = 248,372.59

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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.