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Finding the Fourth Proportional to 317,569.92, 475,910 and 238,633.76

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Solution

The fourth proportional to 317,569.92, 475,910 and 238,633.76 is: 357,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,569.92 : 475,910 = 238,633.76 : x
  2. Step 2: Convert to fraction form
    317,569.92/475,910 = 238,633.76/x
  3. Step 3: Cross multiply
    317,569.92x = 475,910 × 238,633.76
  4. Step 4: Simplify right side
    317,569.92x = 113,568,192,721.60
  5. Step 5: Solve for x
    x = 113,568,192,721.60/317,569.92
  6. Step 6: Final answer
    x = 357,616.34

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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.