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Finding the Fourth Proportional to 317,041.20, 475,623.90 and 117,363.24

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Solution

The fourth proportional to 317,041.20, 475,623.90 and 117,363.24 is: 176,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,041.20 : 475,623.90 = 117,363.24 : x
  2. Step 2: Convert to fraction form
    317,041.20/475,623.90 = 117,363.24/x
  3. Step 3: Cross multiply
    317,041.20x = 475,623.90 × 117,363.24
  4. Step 4: Simplify right side
    317,041.20x = 55,820,761,925.44
  5. Step 5: Solve for x
    x = 55,820,761,925.44/317,041.20
  6. Step 6: Final answer
    x = 176,067.85

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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.