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Finding the Fourth Proportional to 304,272.20, 456,408.30 and 82,656.20

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Solution

The fourth proportional to 304,272.20, 456,408.30 and 82,656.20 is: 123,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,272.20 : 456,408.30 = 82,656.20 : x
  2. Step 2: Convert to fraction form
    304,272.20/456,408.30 = 82,656.20/x
  3. Step 3: Cross multiply
    304,272.20x = 456,408.30 × 82,656.20
  4. Step 4: Simplify right side
    304,272.20x = 37,724,975,726.46
  5. Step 5: Solve for x
    x = 37,724,975,726.46/304,272.20
  6. Step 6: Final answer
    x = 123,984.30

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1.5x scale

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.