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Finding the Fourth Proportional to 304,442.20, 456,692.10 and 82,826.20

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Solution

The fourth proportional to 304,442.20, 456,692.10 and 82,826.20 is: 124,247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,442.20 : 456,692.10 = 82,826.20 : x
  2. Step 2: Convert to fraction form
    304,442.20/456,692.10 = 82,826.20/x
  3. Step 3: Cross multiply
    304,442.20x = 456,692.10 × 82,826.20
  4. Step 4: Simplify right side
    304,442.20x = 37,826,071,213.02
  5. Step 5: Solve for x
    x = 37,826,071,213.02/304,442.20
  6. Step 6: Final answer
    x = 124,247.14

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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.