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Finding the Fourth Proportional to 294,947, 442,422.12 and 73,331

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Solution

The fourth proportional to 294,947, 442,422.12 and 73,331 is: 109,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,947 : 442,422.12 = 73,331 : x
  2. Step 2: Convert to fraction form
    294,947/442,422.12 = 73,331/x
  3. Step 3: Cross multiply
    294,947x = 442,422.12 × 73,331
  4. Step 4: Simplify right side
    294,947x = 32,443,256,481.72
  5. Step 5: Solve for x
    x = 32,443,256,481.72/294,947
  6. Step 6: Final answer
    x = 109,996.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.