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Finding the Fourth Proportional to 442,969.40, 664,367.70 and 143,377.40

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Solution

The fourth proportional to 442,969.40, 664,367.70 and 143,377.40 is: 215,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,969.40 : 664,367.70 = 143,377.40 : x
  2. Step 2: Convert to fraction form
    442,969.40/664,367.70 = 143,377.40/x
  3. Step 3: Cross multiply
    442,969.40x = 664,367.70 × 143,377.40
  4. Step 4: Simplify right side
    442,969.40x = 95,255,313,469.98
  5. Step 5: Solve for x
    x = 95,255,313,469.98/442,969.40
  6. Step 6: Final answer
    x = 215,038.13

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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.