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Finding the Fourth Proportional to 264,883.92, 397,502.55 and 96,404.20

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Solution

The fourth proportional to 264,883.92, 397,502.55 and 96,404.20 is: 144,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,883.92 : 397,502.55 = 96,404.20 : x
  2. Step 2: Convert to fraction form
    264,883.92/397,502.55 = 96,404.20/x
  3. Step 3: Cross multiply
    264,883.92x = 397,502.55 × 96,404.20
  4. Step 4: Simplify right side
    264,883.92x = 38,320,915,571.72
  5. Step 5: Solve for x
    x = 38,320,915,571.72/264,883.92
  6. Step 6: Final answer
    x = 144,670.60

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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.