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Finding the Fourth Proportional to 304,891.20, 457,336.80 and 83,275.20

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Solution

The fourth proportional to 304,891.20, 457,336.80 and 83,275.20 is: 124,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,891.20 : 457,336.80 = 83,275.20 : x
  2. Step 2: Convert to fraction form
    304,891.20/457,336.80 = 83,275.20/x
  3. Step 3: Cross multiply
    304,891.20x = 457,336.80 × 83,275.20
  4. Step 4: Simplify right side
    304,891.20x = 38,084,813,487.36
  5. Step 5: Solve for x
    x = 38,084,813,487.36/304,891.20
  6. Step 6: Final answer
    x = 124,912.80

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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.