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Finding the Fourth Proportional to 310,658.26, 466,085.19 and 110,974.21

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Solution

The fourth proportional to 310,658.26, 466,085.19 and 110,974.21 is: 166,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,658.26 : 466,085.19 = 110,974.21 : x
  2. Step 2: Convert to fraction form
    310,658.26/466,085.19 = 110,974.21/x
  3. Step 3: Cross multiply
    310,658.26x = 466,085.19 × 110,974.21
  4. Step 4: Simplify right side
    310,658.26x = 51,723,435,752.95
  5. Step 5: Solve for x
    x = 51,723,435,752.95/310,658.26
  6. Step 6: Final answer
    x = 166,496.25

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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.