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Finding the Fourth Proportional to 311,885.80, 467,828.70 and 288,266.20

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Solution

The fourth proportional to 311,885.80, 467,828.70 and 288,266.20 is: 432,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,885.80 : 467,828.70 = 288,266.20 : x
  2. Step 2: Convert to fraction form
    311,885.80/467,828.70 = 288,266.20/x
  3. Step 3: Cross multiply
    311,885.80x = 467,828.70 × 288,266.20
  4. Step 4: Simplify right side
    311,885.80x = 134,859,201,599.94
  5. Step 5: Solve for x
    x = 134,859,201,599.94/311,885.80
  6. Step 6: Final answer
    x = 432,399.30

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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.