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Finding the Fourth Proportional to 447,148.68, 670,789.44 and 147,660.84

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Solution

The fourth proportional to 447,148.68, 670,789.44 and 147,660.84 is: 221,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,148.68 : 670,789.44 = 147,660.84 : x
  2. Step 2: Convert to fraction form
    447,148.68/670,789.44 = 147,660.84/x
  3. Step 3: Cross multiply
    447,148.68x = 670,789.44 × 147,660.84
  4. Step 4: Simplify right side
    447,148.68x = 99,049,332,173.53
  5. Step 5: Solve for x
    x = 99,049,332,173.53/447,148.68
  6. Step 6: Final answer
    x = 221,513.19

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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.