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Finding the Fourth Proportional to 533,259.36, 799,810.33 and 196,221.70

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Solution

The fourth proportional to 533,259.36, 799,810.33 and 196,221.70 is: 294,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,259.36 : 799,810.33 = 196,221.70 : x
  2. Step 2: Convert to fraction form
    533,259.36/799,810.33 = 196,221.70/x
  3. Step 3: Cross multiply
    533,259.36x = 799,810.33 × 196,221.70
  4. Step 4: Simplify right side
    533,259.36x = 156,940,142,630.16
  5. Step 5: Solve for x
    x = 156,940,142,630.16/533,259.36
  6. Step 6: Final answer
    x = 294,303.59

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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.