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Finding the Fourth Proportional to 280,847.20, 421,270.80 and 279,097.60

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Solution

The fourth proportional to 280,847.20, 421,270.80 and 279,097.60 is: 418,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,847.20 : 421,270.80 = 279,097.60 : x
  2. Step 2: Convert to fraction form
    280,847.20/421,270.80 = 279,097.60/x
  3. Step 3: Cross multiply
    280,847.20x = 421,270.80 × 279,097.60
  4. Step 4: Simplify right side
    280,847.20x = 117,575,669,230.08
  5. Step 5: Solve for x
    x = 117,575,669,230.08/280,847.20
  6. Step 6: Final answer
    x = 418,646.40

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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.