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Finding the Fourth Proportional to 255,872.80, 383,809.20 and 224,768.80

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Solution

The fourth proportional to 255,872.80, 383,809.20 and 224,768.80 is: 337,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,872.80 : 383,809.20 = 224,768.80 : x
  2. Step 2: Convert to fraction form
    255,872.80/383,809.20 = 224,768.80/x
  3. Step 3: Cross multiply
    255,872.80x = 383,809.20 × 224,768.80
  4. Step 4: Simplify right side
    255,872.80x = 86,268,333,312.96
  5. Step 5: Solve for x
    x = 86,268,333,312.96/255,872.80
  6. Step 6: Final answer
    x = 337,153.20

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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.