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Finding the Fourth Proportional to 412,709.76, 619,239.52 and 225,502.56

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Solution

The fourth proportional to 412,709.76, 619,239.52 and 225,502.56 is: 338,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,709.76 : 619,239.52 = 225,502.56 : x
  2. Step 2: Convert to fraction form
    412,709.76/619,239.52 = 225,502.56/x
  3. Step 3: Cross multiply
    412,709.76x = 619,239.52 × 225,502.56
  4. Step 4: Simplify right side
    412,709.76x = 139,640,097,013.17
  5. Step 5: Solve for x
    x = 139,640,097,013.17/412,709.76
  6. Step 6: Final answer
    x = 338,349.39

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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.