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Finding the Fourth Proportional to 264,859.20, 397,288.80 and 180,878.40

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Solution

The fourth proportional to 264,859.20, 397,288.80 and 180,878.40 is: 271,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,859.20 : 397,288.80 = 180,878.40 : x
  2. Step 2: Convert to fraction form
    264,859.20/397,288.80 = 180,878.40/x
  3. Step 3: Cross multiply
    264,859.20x = 397,288.80 × 180,878.40
  4. Step 4: Simplify right side
    264,859.20x = 71,860,962,481.92
  5. Step 5: Solve for x
    x = 71,860,962,481.92/264,859.20
  6. Step 6: Final answer
    x = 271,317.60

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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.