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Finding the Fourth Proportional to 533,702.52, 800,650.80 and 253,217.16

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Solution

The fourth proportional to 533,702.52, 800,650.80 and 253,217.16 is: 379,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,702.52 : 800,650.80 = 253,217.16 : x
  2. Step 2: Convert to fraction form
    533,702.52/800,650.80 = 253,217.16/x
  3. Step 3: Cross multiply
    533,702.52x = 800,650.80 × 253,217.16
  4. Step 4: Simplify right side
    533,702.52x = 202,738,521,727.73
  5. Step 5: Solve for x
    x = 202,738,521,727.73/533,702.52
  6. Step 6: Final answer
    x = 379,871.77

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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.