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Finding the Fourth Proportional to 304,472.70, 456,709.05 and 82,856.70

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Solution

The fourth proportional to 304,472.70, 456,709.05 and 82,856.70 is: 124,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,472.70 : 456,709.05 = 82,856.70 : x
  2. Step 2: Convert to fraction form
    304,472.70/456,709.05 = 82,856.70/x
  3. Step 3: Cross multiply
    304,472.70x = 456,709.05 × 82,856.70
  4. Step 4: Simplify right side
    304,472.70x = 37,841,404,743.14
  5. Step 5: Solve for x
    x = 37,841,404,743.14/304,472.70
  6. Step 6: Final answer
    x = 124,285.05

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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.