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Finding the Fourth Proportional to 307,478.94, 461,423.61 and 107,799.18

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Solution

The fourth proportional to 307,478.94, 461,423.61 and 107,799.18 is: 161,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,478.94 : 461,423.61 = 107,799.18 : x
  2. Step 2: Convert to fraction form
    307,478.94/461,423.61 = 107,799.18/x
  3. Step 3: Cross multiply
    307,478.94x = 461,423.61 × 107,799.18
  4. Step 4: Simplify right side
    307,478.94x = 49,741,086,790.64
  5. Step 5: Solve for x
    x = 49,741,086,790.64/307,478.94
  6. Step 6: Final answer
    x = 161,770.71

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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.