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Finding the Fourth Proportional to 533,498.76, 800,464.32 and 233,821.44

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Solution

The fourth proportional to 533,498.76, 800,464.32 and 233,821.44 is: 350,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,498.76 : 800,464.32 = 233,821.44 : x
  2. Step 2: Convert to fraction form
    533,498.76/800,464.32 = 233,821.44/x
  3. Step 3: Cross multiply
    533,498.76x = 800,464.32 × 233,821.44
  4. Step 4: Simplify right side
    533,498.76x = 187,165,719,971.02
  5. Step 5: Solve for x
    x = 187,165,719,971.02/533,498.76
  6. Step 6: Final answer
    x = 350,826.91

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1.5x scale

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.