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Finding the Fourth Proportional to 310,770.48, 466,158.42 and 100,408.44

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Solution

The fourth proportional to 310,770.48, 466,158.42 and 100,408.44 is: 150,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,770.48 : 466,158.42 = 100,408.44 : x
  2. Step 2: Convert to fraction form
    310,770.48/466,158.42 = 100,408.44/x
  3. Step 3: Cross multiply
    310,770.48x = 466,158.42 × 100,408.44
  4. Step 4: Simplify right side
    310,770.48x = 46,806,239,745.06
  5. Step 5: Solve for x
    x = 46,806,239,745.06/310,770.48
  6. Step 6: Final answer
    x = 150,613.53

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1.5x scale

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.