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Finding the Fourth Proportional to 381,315.28, 571,977 and 115,078.18

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Solution

The fourth proportional to 381,315.28, 571,977 and 115,078.18 is: 172,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,315.28 : 571,977 = 115,078.18 : x
  2. Step 2: Convert to fraction form
    381,315.28/571,977 = 115,078.18/x
  3. Step 3: Cross multiply
    381,315.28x = 571,977 × 115,078.18
  4. Step 4: Simplify right side
    381,315.28x = 65,822,072,161.86
  5. Step 5: Solve for x
    x = 65,822,072,161.86/381,315.28
  6. Step 6: Final answer
    x = 172,618.50

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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.