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Finding the Fourth Proportional to 533,774.60, 800,402.70 and 296,865.80

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Solution

The fourth proportional to 533,774.60, 800,402.70 and 296,865.80 is: 445,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,774.60 : 800,402.70 = 296,865.80 : x
  2. Step 2: Convert to fraction form
    533,774.60/800,402.70 = 296,865.80/x
  3. Step 3: Cross multiply
    533,774.60x = 800,402.70 × 296,865.80
  4. Step 4: Simplify right side
    533,774.60x = 237,612,187,857.66
  5. Step 5: Solve for x
    x = 237,612,187,857.66/533,774.60
  6. Step 6: Final answer
    x = 445,154.54

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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.