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Finding the Fourth Proportional to 294,899.31, 442,348.85 and 73,283.31

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Solution

The fourth proportional to 294,899.31, 442,348.85 and 73,283.31 is: 109,924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,899.31 : 442,348.85 = 73,283.31 : x
  2. Step 2: Convert to fraction form
    294,899.31/442,348.85 = 73,283.31/x
  3. Step 3: Cross multiply
    294,899.31x = 442,348.85 × 73,283.31
  4. Step 4: Simplify right side
    294,899.31x = 32,416,787,536.28
  5. Step 5: Solve for x
    x = 32,416,787,536.28/294,899.31
  6. Step 6: Final answer
    x = 109,924.94

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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.