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Finding the Fourth Proportional to 255,868.80, 383,803.20 and 224,764.80

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Solution

The fourth proportional to 255,868.80, 383,803.20 and 224,764.80 is: 337,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,868.80 : 383,803.20 = 224,764.80 : x
  2. Step 2: Convert to fraction form
    255,868.80/383,803.20 = 224,764.80/x
  3. Step 3: Cross multiply
    255,868.80x = 383,803.20 × 224,764.80
  4. Step 4: Simplify right side
    255,868.80x = 86,265,449,487.36
  5. Step 5: Solve for x
    x = 86,265,449,487.36/255,868.80
  6. Step 6: Final answer
    x = 337,147.20

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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.