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Finding the Fourth Proportional to 442,544.40, 663,223.50 and 414,200.88

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Solution

The fourth proportional to 442,544.40, 663,223.50 and 414,200.88 is: 620,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,544.40 : 663,223.50 = 414,200.88 : x
  2. Step 2: Convert to fraction form
    442,544.40/663,223.50 = 414,200.88/x
  3. Step 3: Cross multiply
    442,544.40x = 663,223.50 × 414,200.88
  4. Step 4: Simplify right side
    442,544.40x = 274,707,757,336.68
  5. Step 5: Solve for x
    x = 274,707,757,336.68/442,544.40
  6. Step 6: Final answer
    x = 620,746.21

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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.