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Finding the Fourth Proportional to 402,564.20, 603,919.20 and 202,380.80

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Solution

The fourth proportional to 402,564.20, 603,919.20 and 202,380.80 is: 303,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,564.20 : 603,919.20 = 202,380.80 : x
  2. Step 2: Convert to fraction form
    402,564.20/603,919.20 = 202,380.80/x
  3. Step 3: Cross multiply
    402,564.20x = 603,919.20 × 202,380.80
  4. Step 4: Simplify right side
    402,564.20x = 122,221,650,831.36
  5. Step 5: Solve for x
    x = 122,221,650,831.36/402,564.20
  6. Step 6: Final answer
    x = 303,607.85

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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.