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Finding the Fourth Proportional to 311,419.80, 467,129.70 and 305,514.90

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Solution

The fourth proportional to 311,419.80, 467,129.70 and 305,514.90 is: 458,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,419.80 : 467,129.70 = 305,514.90 : x
  2. Step 2: Convert to fraction form
    311,419.80/467,129.70 = 305,514.90/x
  3. Step 3: Cross multiply
    311,419.80x = 467,129.70 × 305,514.90
  4. Step 4: Simplify right side
    311,419.80x = 142,715,083,582.53
  5. Step 5: Solve for x
    x = 142,715,083,582.53/311,419.80
  6. Step 6: Final answer
    x = 458,272.35

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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.