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Finding the Fourth Proportional to 294,357.30, 441,540 and 83,995.20

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Solution

The fourth proportional to 294,357.30, 441,540 and 83,995.20 is: 125,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,357.30 : 441,540 = 83,995.20 : x
  2. Step 2: Convert to fraction form
    294,357.30/441,540 = 83,995.20/x
  3. Step 3: Cross multiply
    294,357.30x = 441,540 × 83,995.20
  4. Step 4: Simplify right side
    294,357.30x = 37,087,240,608
  5. Step 5: Solve for x
    x = 37,087,240,608/294,357.30
  6. Step 6: Final answer
    x = 125,993.96

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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.