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Finding the Fourth Proportional to 533,641.82, 799,179.95 and 305,245.19

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Solution

The fourth proportional to 533,641.82, 799,179.95 and 305,245.19 is: 457,134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,641.82 : 799,179.95 = 305,245.19 : x
  2. Step 2: Convert to fraction form
    533,641.82/799,179.95 = 305,245.19/x
  3. Step 3: Cross multiply
    533,641.82x = 799,179.95 × 305,245.19
  4. Step 4: Simplify right side
    533,641.82x = 243,945,838,443.00
  5. Step 5: Solve for x
    x = 243,945,838,443.00/533,641.82
  6. Step 6: Final answer
    x = 457,134.04

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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.