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Finding the Fourth Proportional to 442,024.40, 662,255.80 and 427,406.80

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Solution

The fourth proportional to 442,024.40, 662,255.80 and 427,406.80 is: 640,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,024.40 : 662,255.80 = 427,406.80 : x
  2. Step 2: Convert to fraction form
    442,024.40/662,255.80 = 427,406.80/x
  3. Step 3: Cross multiply
    442,024.40x = 662,255.80 × 427,406.80
  4. Step 4: Simplify right side
    442,024.40x = 283,052,632,259.44
  5. Step 5: Solve for x
    x = 283,052,632,259.44/442,024.40
  6. Step 6: Final answer
    x = 640,355.22

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1.5x scale

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.