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Finding the Fourth Proportional to 311,933.80, 467,900.70 and 307,268.20

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Solution

The fourth proportional to 311,933.80, 467,900.70 and 307,268.20 is: 460,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,933.80 : 467,900.70 = 307,268.20 : x
  2. Step 2: Convert to fraction form
    311,933.80/467,900.70 = 307,268.20/x
  3. Step 3: Cross multiply
    311,933.80x = 467,900.70 × 307,268.20
  4. Step 4: Simplify right side
    311,933.80x = 143,771,005,867.74
  5. Step 5: Solve for x
    x = 143,771,005,867.74/311,933.80
  6. Step 6: Final answer
    x = 460,902.30

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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.