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Finding the Fourth Proportional to 304,216.80, 457,102.80 and 270,002.40

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Solution

The fourth proportional to 304,216.80, 457,102.80 and 270,002.40 is: 405,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,216.80 : 457,102.80 = 270,002.40 : x
  2. Step 2: Convert to fraction form
    304,216.80/457,102.80 = 270,002.40/x
  3. Step 3: Cross multiply
    304,216.80x = 457,102.80 × 270,002.40
  4. Step 4: Simplify right side
    304,216.80x = 123,418,853,046.72
  5. Step 5: Solve for x
    x = 123,418,853,046.72/304,216.80
  6. Step 6: Final answer
    x = 405,693.75

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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.