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Finding the Fourth Proportional to 264,319.57, 396,475.91 and 64,641.68

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Solution

The fourth proportional to 264,319.57, 396,475.91 and 64,641.68 is: 96,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,319.57 : 396,475.91 = 64,641.68 : x
  2. Step 2: Convert to fraction form
    264,319.57/396,475.91 = 64,641.68/x
  3. Step 3: Cross multiply
    264,319.57x = 396,475.91 × 64,641.68
  4. Step 4: Simplify right side
    264,319.57x = 25,628,870,361.77
  5. Step 5: Solve for x
    x = 25,628,870,361.77/264,319.57
  6. Step 6: Final answer
    x = 96,961.68

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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.