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Finding the Fourth Proportional to 533,773.60, 800,401.20 and 296,864.80

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Solution

The fourth proportional to 533,773.60, 800,401.20 and 296,864.80 is: 445,153.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,773.60 : 800,401.20 = 296,864.80 : x
  2. Step 2: Convert to fraction form
    533,773.60/800,401.20 = 296,864.80/x
  3. Step 3: Cross multiply
    533,773.60x = 800,401.20 × 296,864.80
  4. Step 4: Simplify right side
    533,773.60x = 237,610,942,157.76
  5. Step 5: Solve for x
    x = 237,610,942,157.76/533,773.60
  6. Step 6: Final answer
    x = 445,153.04

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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.