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Finding the Fourth Proportional to 295,009.80, 442,511.82 and 84,648.84

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Solution

The fourth proportional to 295,009.80, 442,511.82 and 84,648.84 is: 126,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,009.80 : 442,511.82 = 84,648.84 : x
  2. Step 2: Convert to fraction form
    295,009.80/442,511.82 = 84,648.84/x
  3. Step 3: Cross multiply
    295,009.80x = 442,511.82 × 84,648.84
  4. Step 4: Simplify right side
    295,009.80x = 37,458,112,249.29
  5. Step 5: Solve for x
    x = 37,458,112,249.29/295,009.80
  6. Step 6: Final answer
    x = 126,972.43

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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.