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Finding the Fourth Proportional to 533,679.03, 800,649.77 and 213,852.15

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Solution

The fourth proportional to 533,679.03, 800,649.77 and 213,852.15 is: 320,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,679.03 : 800,649.77 = 213,852.15 : x
  2. Step 2: Convert to fraction form
    533,679.03/800,649.77 = 213,852.15/x
  3. Step 3: Cross multiply
    533,679.03x = 800,649.77 × 213,852.15
  4. Step 4: Simplify right side
    533,679.03x = 171,220,673,642.25
  5. Step 5: Solve for x
    x = 171,220,673,642.25/533,679.03
  6. Step 6: Final answer
    x = 320,830.81

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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.