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Finding the Fourth Proportional to 304,003.80, 456,005.22 and 82,387.80

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Solution

The fourth proportional to 304,003.80, 456,005.22 and 82,387.80 is: 123,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,003.80 : 456,005.22 = 82,387.80 : x
  2. Step 2: Convert to fraction form
    304,003.80/456,005.22 = 82,387.80/x
  3. Step 3: Cross multiply
    304,003.80x = 456,005.22 × 82,387.80
  4. Step 4: Simplify right side
    304,003.80x = 37,569,266,864.32
  5. Step 5: Solve for x
    x = 37,569,266,864.32/304,003.80
  6. Step 6: Final answer
    x = 123,581.57

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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.