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Finding the Fourth Proportional to 442,820.40, 664,144.20 and 143,228.40

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Solution

The fourth proportional to 442,820.40, 664,144.20 and 143,228.40 is: 214,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,820.40 : 664,144.20 = 143,228.40 : x
  2. Step 2: Convert to fraction form
    442,820.40/664,144.20 = 143,228.40/x
  3. Step 3: Cross multiply
    442,820.40x = 664,144.20 × 143,228.40
  4. Step 4: Simplify right side
    442,820.40x = 95,124,311,135.28
  5. Step 5: Solve for x
    x = 95,124,311,135.28/442,820.40
  6. Step 6: Final answer
    x = 214,814.65

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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.