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Finding the Fourth Proportional to 294,682.93, 406,711.20 and 173,853.75

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Solution

The fourth proportional to 294,682.93, 406,711.20 and 173,853.75 is: 239,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,682.93 : 406,711.20 = 173,853.75 : x
  2. Step 2: Convert to fraction form
    294,682.93/406,711.20 = 173,853.75/x
  3. Step 3: Cross multiply
    294,682.93x = 406,711.20 × 173,853.75
  4. Step 4: Simplify right side
    294,682.93x = 70,708,267,287
  5. Step 5: Solve for x
    x = 70,708,267,287/294,682.93
  6. Step 6: Final answer
    x = 239,946.94

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