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Finding the Fourth Proportional to 296,976.80, 445,417.80 and 86,565.52

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Solution

The fourth proportional to 296,976.80, 445,417.80 and 86,565.52 is: 129,834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,976.80 : 445,417.80 = 86,565.52 : x
  2. Step 2: Convert to fraction form
    296,976.80/445,417.80 = 86,565.52/x
  3. Step 3: Cross multiply
    296,976.80x = 445,417.80 × 86,565.52
  4. Step 4: Simplify right side
    296,976.80x = 38,557,823,474.26
  5. Step 5: Solve for x
    x = 38,557,823,474.26/296,976.80
  6. Step 6: Final answer
    x = 129,834.46

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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.