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Finding the Fourth Proportional to 533,459.22, 800,405.10 and 233,781.90

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Solution

The fourth proportional to 533,459.22, 800,405.10 and 233,781.90 is: 350,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,459.22 : 800,405.10 = 233,781.90 : x
  2. Step 2: Convert to fraction form
    533,459.22/800,405.10 = 233,781.90/x
  3. Step 3: Cross multiply
    533,459.22x = 800,405.10 × 233,781.90
  4. Step 4: Simplify right side
    533,459.22x = 187,120,225,047.69
  5. Step 5: Solve for x
    x = 187,120,225,047.69/533,459.22
  6. Step 6: Final answer
    x = 350,767.63

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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.