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Finding the Fourth Proportional to 294,705.38, 406,674.06 and 173,819.10

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Solution

The fourth proportional to 294,705.38, 406,674.06 and 173,819.10 is: 239,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,705.38 : 406,674.06 = 173,819.10 : x
  2. Step 2: Convert to fraction form
    294,705.38/406,674.06 = 173,819.10/x
  3. Step 3: Cross multiply
    294,705.38x = 406,674.06 × 173,819.10
  4. Step 4: Simplify right side
    294,705.38x = 70,687,719,102.55
  5. Step 5: Solve for x
    x = 70,687,719,102.55/294,705.38
  6. Step 6: Final answer
    x = 239,858.94

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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.