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Finding the Fourth Proportional to 533,564.20, 800,346.30 and 514,901.80

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Solution

The fourth proportional to 533,564.20, 800,346.30 and 514,901.80 is: 772,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,564.20 : 800,346.30 = 514,901.80 : x
  2. Step 2: Convert to fraction form
    533,564.20/800,346.30 = 514,901.80/x
  3. Step 3: Cross multiply
    533,564.20x = 800,346.30 × 514,901.80
  4. Step 4: Simplify right side
    533,564.20x = 412,099,750,493.34
  5. Step 5: Solve for x
    x = 412,099,750,493.34/533,564.20
  6. Step 6: Final answer
    x = 772,352.70

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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.