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Finding the Fourth Proportional to 533,825.76, 800,738.64 and 234,308.93

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Solution

The fourth proportional to 533,825.76, 800,738.64 and 234,308.93 is: 351,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,825.76 : 800,738.64 = 234,308.93 : x
  2. Step 2: Convert to fraction form
    533,825.76/800,738.64 = 234,308.93/x
  3. Step 3: Cross multiply
    533,825.76x = 800,738.64 × 234,308.93
  4. Step 4: Simplify right side
    533,825.76x = 187,620,215,949.90
  5. Step 5: Solve for x
    x = 187,620,215,949.90/533,825.76
  6. Step 6: Final answer
    x = 351,463.40

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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.