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Finding the Fourth Proportional to 304,462.20, 456,722.10 and 82,846.20

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Solution

The fourth proportional to 304,462.20, 456,722.10 and 82,846.20 is: 124,277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,462.20 : 456,722.10 = 82,846.20 : x
  2. Step 2: Convert to fraction form
    304,462.20/456,722.10 = 82,846.20/x
  3. Step 3: Cross multiply
    304,462.20x = 456,722.10 × 82,846.20
  4. Step 4: Simplify right side
    304,462.20x = 37,837,690,441.02
  5. Step 5: Solve for x
    x = 37,837,690,441.02/304,462.20
  6. Step 6: Final answer
    x = 124,277.14

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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.