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Finding the Fourth Proportional to 294,293.44, 406,112.70 and 173,439.82

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Solution

The fourth proportional to 294,293.44, 406,112.70 and 173,439.82 is: 239,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,293.44 : 406,112.70 = 173,439.82 : x
  2. Step 2: Convert to fraction form
    294,293.44/406,112.70 = 173,439.82/x
  3. Step 3: Cross multiply
    294,293.44x = 406,112.70 × 173,439.82
  4. Step 4: Simplify right side
    294,293.44x = 70,436,113,587.71
  5. Step 5: Solve for x
    x = 70,436,113,587.71/294,293.44
  6. Step 6: Final answer
    x = 239,339.73

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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.