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Finding the Fourth Proportional to 310,658.34, 466,085.39 and 110,974.30

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Solution

The fourth proportional to 310,658.34, 466,085.39 and 110,974.30 is: 166,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,658.34 : 466,085.39 = 110,974.30 : x
  2. Step 2: Convert to fraction form
    310,658.34/466,085.39 = 110,974.30/x
  3. Step 3: Cross multiply
    310,658.34x = 466,085.39 × 110,974.30
  4. Step 4: Simplify right side
    310,658.34x = 51,723,499,895.48
  5. Step 5: Solve for x
    x = 51,723,499,895.48/310,658.34
  6. Step 6: Final answer
    x = 166,496.41

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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.