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Finding the Fourth Proportional to 294,778.35, 406,678.64 and 181,404.27

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Solution

The fourth proportional to 294,778.35, 406,678.64 and 181,404.27 is: 250,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,778.35 : 406,678.64 = 181,404.27 : x
  2. Step 2: Convert to fraction form
    294,778.35/406,678.64 = 181,404.27/x
  3. Step 3: Cross multiply
    294,778.35x = 406,678.64 × 181,404.27
  4. Step 4: Simplify right side
    294,778.35x = 73,773,238,873.38
  5. Step 5: Solve for x
    x = 73,773,238,873.38/294,778.35
  6. Step 6: Final answer
    x = 250,266.82

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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.