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Finding the Fourth Proportional to 412,812.30, 619,801.65 and 255,348.30

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Solution

The fourth proportional to 412,812.30, 619,801.65 and 255,348.30 is: 383,383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,812.30 : 619,801.65 = 255,348.30 : x
  2. Step 2: Convert to fraction form
    412,812.30/619,801.65 = 255,348.30/x
  3. Step 3: Cross multiply
    412,812.30x = 619,801.65 × 255,348.30
  4. Step 4: Simplify right side
    412,812.30x = 158,265,297,664.70
  5. Step 5: Solve for x
    x = 158,265,297,664.70/412,812.30
  6. Step 6: Final answer
    x = 383,383.19

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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.