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Finding the Fourth Proportional to 384,636.95, 530,819.38 and 231,723.28

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Solution

The fourth proportional to 384,636.95, 530,819.38 and 231,723.28 is: 319,790.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,636.95 : 530,819.38 = 231,723.28 : x
  2. Step 2: Convert to fraction form
    384,636.95/530,819.38 = 231,723.28/x
  3. Step 3: Cross multiply
    384,636.95x = 530,819.38 × 231,723.28
  4. Step 4: Simplify right side
    384,636.95x = 123,003,207,470.90
  5. Step 5: Solve for x
    x = 123,003,207,470.90/384,636.95
  6. Step 6: Final answer
    x = 319,790.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.