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Finding the Fourth Proportional to 280,298.30, 419,463.30 and 191,724.80

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Solution

The fourth proportional to 280,298.30, 419,463.30 and 191,724.80 is: 286,914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,298.30 : 419,463.30 = 191,724.80 : x
  2. Step 2: Convert to fraction form
    280,298.30/419,463.30 = 191,724.80/x
  3. Step 3: Cross multiply
    280,298.30x = 419,463.30 × 191,724.80
  4. Step 4: Simplify right side
    280,298.30x = 80,421,517,299.84
  5. Step 5: Solve for x
    x = 80,421,517,299.84/280,298.30
  6. Step 6: Final answer
    x = 286,914.04

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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.