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Finding the Fourth Proportional to 304,462.70, 456,722.85 and 82,846.70

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Solution

The fourth proportional to 304,462.70, 456,722.85 and 82,846.70 is: 124,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,462.70 : 456,722.85 = 82,846.70 : x
  2. Step 2: Convert to fraction form
    304,462.70/456,722.85 = 82,846.70/x
  3. Step 3: Cross multiply
    304,462.70x = 456,722.85 × 82,846.70
  4. Step 4: Simplify right side
    304,462.70x = 37,837,980,937.10
  5. Step 5: Solve for x
    x = 37,837,980,937.10/304,462.70
  6. Step 6: Final answer
    x = 124,277.89

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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.