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Finding the Fourth Proportional to 323,123.16, 483,932.34 and 311,912.76

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Solution

The fourth proportional to 323,123.16, 483,932.34 and 311,912.76 is: 467,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,123.16 : 483,932.34 = 311,912.76 : x
  2. Step 2: Convert to fraction form
    323,123.16/483,932.34 = 311,912.76/x
  3. Step 3: Cross multiply
    323,123.16x = 483,932.34 × 311,912.76
  4. Step 4: Simplify right side
    323,123.16x = 150,944,671,822.66
  5. Step 5: Solve for x
    x = 150,944,671,822.66/323,123.16
  6. Step 6: Final answer
    x = 467,142.84

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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.