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Finding the Fourth Proportional to 294,862.33, 442,293.96 and 89,698.78

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Solution

The fourth proportional to 294,862.33, 442,293.96 and 89,698.78 is: 134,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,862.33 : 442,293.96 = 89,698.78 : x
  2. Step 2: Convert to fraction form
    294,862.33/442,293.96 = 89,698.78/x
  3. Step 3: Cross multiply
    294,862.33x = 442,293.96 × 89,698.78
  4. Step 4: Simplify right side
    294,862.33x = 39,673,228,613.37
  5. Step 5: Solve for x
    x = 39,673,228,613.37/294,862.33
  6. Step 6: Final answer
    x = 134,548.31

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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.