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Finding the Fourth Proportional to 533,836.80, 736,692.78 and 288,820.76

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Solution

The fourth proportional to 533,836.80, 736,692.78 and 288,820.76 is: 398,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,836.80 : 736,692.78 = 288,820.76 : x
  2. Step 2: Convert to fraction form
    533,836.80/736,692.78 = 288,820.76/x
  3. Step 3: Cross multiply
    533,836.80x = 736,692.78 × 288,820.76
  4. Step 4: Simplify right side
    533,836.80x = 212,772,166,764.38
  5. Step 5: Solve for x
    x = 212,772,166,764.38/533,836.80
  6. Step 6: Final answer
    x = 398,571.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.