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Finding the Fourth Proportional to 283,049.40, 424,919.70 and 280,975.80

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Solution

The fourth proportional to 283,049.40, 424,919.70 and 280,975.80 is: 421,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,049.40 : 424,919.70 = 280,975.80 : x
  2. Step 2: Convert to fraction form
    283,049.40/424,919.70 = 280,975.80/x
  3. Step 3: Cross multiply
    283,049.40x = 424,919.70 × 280,975.80
  4. Step 4: Simplify right side
    283,049.40x = 119,392,152,643.26
  5. Step 5: Solve for x
    x = 119,392,152,643.26/283,049.40
  6. Step 6: Final answer
    x = 421,806.77

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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.