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Finding the Fourth Proportional to 304,470.20, 456,734.10 and 82,854.20

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Solution

The fourth proportional to 304,470.20, 456,734.10 and 82,854.20 is: 124,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,470.20 : 456,734.10 = 82,854.20 : x
  2. Step 2: Convert to fraction form
    304,470.20/456,734.10 = 82,854.20/x
  3. Step 3: Cross multiply
    304,470.20x = 456,734.10 × 82,854.20
  4. Step 4: Simplify right side
    304,470.20x = 37,842,338,468.22
  5. Step 5: Solve for x
    x = 37,842,338,468.22/304,470.20
  6. Step 6: Final answer
    x = 124,289.14

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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.