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Finding the Fourth Proportional to 397,195.20, 595,792.80 and 255,477.60

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Solution

The fourth proportional to 397,195.20, 595,792.80 and 255,477.60 is: 383,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,195.20 : 595,792.80 = 255,477.60 : x
  2. Step 2: Convert to fraction form
    397,195.20/595,792.80 = 255,477.60/x
  3. Step 3: Cross multiply
    397,195.20x = 595,792.80 × 255,477.60
  4. Step 4: Simplify right side
    397,195.20x = 152,211,714,641.28
  5. Step 5: Solve for x
    x = 152,211,714,641.28/397,195.20
  6. Step 6: Final answer
    x = 383,216.40

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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.