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Finding the Fourth Proportional to 304,470.20, 456,705.30 and 82,854.20

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Solution

The fourth proportional to 304,470.20, 456,705.30 and 82,854.20 is: 124,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,470.20 : 456,705.30 = 82,854.20 : x
  2. Step 2: Convert to fraction form
    304,470.20/456,705.30 = 82,854.20/x
  3. Step 3: Cross multiply
    304,470.20x = 456,705.30 × 82,854.20
  4. Step 4: Simplify right side
    304,470.20x = 37,839,952,267.26
  5. Step 5: Solve for x
    x = 37,839,952,267.26/304,470.20
  6. Step 6: Final answer
    x = 124,281.30

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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.