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Finding the Fourth Proportional to 533,591.46, 736,604.37 and 315,731.64

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Solution

The fourth proportional to 533,591.46, 736,604.37 and 315,731.64 is: 435,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,591.46 : 736,604.37 = 315,731.64 : x
  2. Step 2: Convert to fraction form
    533,591.46/736,604.37 = 315,731.64/x
  3. Step 3: Cross multiply
    533,591.46x = 736,604.37 × 315,731.64
  4. Step 4: Simplify right side
    533,591.46x = 232,569,305,771.27
  5. Step 5: Solve for x
    x = 232,569,305,771.27/533,591.46
  6. Step 6: Final answer
    x = 435,856.50

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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.