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Finding the Fourth Proportional to 311,767.80, 467,464.20 and 122,001.80

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Solution

The fourth proportional to 311,767.80, 467,464.20 and 122,001.80 is: 182,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,767.80 : 467,464.20 = 122,001.80 : x
  2. Step 2: Convert to fraction form
    311,767.80/467,464.20 = 122,001.80/x
  3. Step 3: Cross multiply
    311,767.80x = 467,464.20 × 122,001.80
  4. Step 4: Simplify right side
    311,767.80x = 57,031,473,835.56
  5. Step 5: Solve for x
    x = 57,031,473,835.56/311,767.80
  6. Step 6: Final answer
    x = 182,929.33

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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.