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Finding the Fourth Proportional to 280,807.20, 421,210.80 and 279,057.60

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Solution

The fourth proportional to 280,807.20, 421,210.80 and 279,057.60 is: 418,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,807.20 : 421,210.80 = 279,057.60 : x
  2. Step 2: Convert to fraction form
    280,807.20/421,210.80 = 279,057.60/x
  3. Step 3: Cross multiply
    280,807.20x = 421,210.80 × 279,057.60
  4. Step 4: Simplify right side
    280,807.20x = 117,542,074,942.08
  5. Step 5: Solve for x
    x = 117,542,074,942.08/280,807.20
  6. Step 6: Final answer
    x = 418,586.40

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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.