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Finding the Fourth Proportional to 533,976.64, 800,121.60 and 433,648.48

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Solution

The fourth proportional to 533,976.64, 800,121.60 and 433,648.48 is: 649,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,976.64 : 800,121.60 = 433,648.48 : x
  2. Step 2: Convert to fraction form
    533,976.64/800,121.60 = 433,648.48/x
  3. Step 3: Cross multiply
    533,976.64x = 800,121.60 × 433,648.48
  4. Step 4: Simplify right side
    533,976.64x = 346,971,515,655.17
  5. Step 5: Solve for x
    x = 346,971,515,655.17/533,976.64
  6. Step 6: Final answer
    x = 649,787.82

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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.