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Finding the Fourth Proportional to 264,515.46, 396,865.35 and 98,350.98

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Solution

The fourth proportional to 264,515.46, 396,865.35 and 98,350.98 is: 147,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,515.46 : 396,865.35 = 98,350.98 : x
  2. Step 2: Convert to fraction form
    264,515.46/396,865.35 = 98,350.98/x
  3. Step 3: Cross multiply
    264,515.46x = 396,865.35 × 98,350.98
  4. Step 4: Simplify right side
    264,515.46x = 39,032,096,100.54
  5. Step 5: Solve for x
    x = 39,032,096,100.54/264,515.46
  6. Step 6: Final answer
    x = 147,560.74

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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.