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Finding the Fourth Proportional to 447,100.80, 670,456.80 and 147,465.60

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Solution

The fourth proportional to 447,100.80, 670,456.80 and 147,465.60 is: 221,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,100.80 : 670,456.80 = 147,465.60 : x
  2. Step 2: Convert to fraction form
    447,100.80/670,456.80 = 147,465.60/x
  3. Step 3: Cross multiply
    447,100.80x = 670,456.80 × 147,465.60
  4. Step 4: Simplify right side
    447,100.80x = 98,869,314,286.08
  5. Step 5: Solve for x
    x = 98,869,314,286.08/447,100.80
  6. Step 6: Final answer
    x = 221,134.28

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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.