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Finding the Fourth Proportional to 502,404.94, 753,725.67 and 165,472.48

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Solution

The fourth proportional to 502,404.94, 753,725.67 and 165,472.48 is: 248,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,404.94 : 753,725.67 = 165,472.48 : x
  2. Step 2: Convert to fraction form
    502,404.94/753,725.67 = 165,472.48/x
  3. Step 3: Cross multiply
    502,404.94x = 753,725.67 × 165,472.48
  4. Step 4: Simplify right side
    502,404.94x = 124,720,855,854.56
  5. Step 5: Solve for x
    x = 124,720,855,854.56/502,404.94
  6. Step 6: Final answer
    x = 248,247.67

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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.