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Finding the Fourth Proportional to 447,808.40, 671,698.20 and 148,302.80

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Solution

The fourth proportional to 447,808.40, 671,698.20 and 148,302.80 is: 222,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,808.40 : 671,698.20 = 148,302.80 : x
  2. Step 2: Convert to fraction form
    447,808.40/671,698.20 = 148,302.80/x
  3. Step 3: Cross multiply
    447,808.40x = 671,698.20 × 148,302.80
  4. Step 4: Simplify right side
    447,808.40x = 99,614,723,814.96
  5. Step 5: Solve for x
    x = 99,614,723,814.96/447,808.40
  6. Step 6: Final answer
    x = 222,449.43

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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.