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Finding the Fourth Proportional to 311,599.42, 467,462.01 and 98,400.64

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Solution

The fourth proportional to 311,599.42, 467,462.01 and 98,400.64 is: 147,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,599.42 : 467,462.01 = 98,400.64 : x
  2. Step 2: Convert to fraction form
    311,599.42/467,462.01 = 98,400.64/x
  3. Step 3: Cross multiply
    311,599.42x = 467,462.01 × 98,400.64
  4. Step 4: Simplify right side
    311,599.42x = 45,998,560,959.69
  5. Step 5: Solve for x
    x = 45,998,560,959.69/311,599.42
  6. Step 6: Final answer
    x = 147,620.82

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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.