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Finding the Fourth Proportional to 533,499.76, 800,465.82 and 233,822.44

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Solution

The fourth proportional to 533,499.76, 800,465.82 and 233,822.44 is: 350,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,499.76 : 800,465.82 = 233,822.44 : x
  2. Step 2: Convert to fraction form
    533,499.76/800,465.82 = 233,822.44/x
  3. Step 3: Cross multiply
    533,499.76x = 800,465.82 × 233,822.44
  4. Step 4: Simplify right side
    533,499.76x = 187,166,871,169.00
  5. Step 5: Solve for x
    x = 187,166,871,169.00/533,499.76
  6. Step 6: Final answer
    x = 350,828.41

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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.