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Finding the Fourth Proportional to 317,283.48, 475,926.84 and 106,923.24

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Solution

The fourth proportional to 317,283.48, 475,926.84 and 106,923.24 is: 160,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,283.48 : 475,926.84 = 106,923.24 : x
  2. Step 2: Convert to fraction form
    317,283.48/475,926.84 = 106,923.24/x
  3. Step 3: Cross multiply
    317,283.48x = 475,926.84 × 106,923.24
  4. Step 4: Simplify right side
    317,283.48x = 50,887,639,735.76
  5. Step 5: Solve for x
    x = 50,887,639,735.76/317,283.48
  6. Step 6: Final answer
    x = 160,385.41

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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.