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Finding the Fourth Proportional to 264,641.46, 396,968.67 and 77,658.90

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Solution

The fourth proportional to 264,641.46, 396,968.67 and 77,658.90 is: 116,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,641.46 : 396,968.67 = 77,658.90 : x
  2. Step 2: Convert to fraction form
    264,641.46/396,968.67 = 77,658.90/x
  3. Step 3: Cross multiply
    264,641.46x = 396,968.67 × 77,658.90
  4. Step 4: Simplify right side
    264,641.46x = 30,828,150,246.66
  5. Step 5: Solve for x
    x = 30,828,150,246.66/264,641.46
  6. Step 6: Final answer
    x = 116,490.25

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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.