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Finding the Fourth Proportional to 264,658.50, 397,008.54 and 75,115.80

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Solution

The fourth proportional to 264,658.50, 397,008.54 and 75,115.80 is: 112,679.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,658.50 : 397,008.54 = 75,115.80 : x
  2. Step 2: Convert to fraction form
    264,658.50/397,008.54 = 75,115.80/x
  3. Step 3: Cross multiply
    264,658.50x = 397,008.54 × 75,115.80
  4. Step 4: Simplify right side
    264,658.50x = 29,821,614,088.93
  5. Step 5: Solve for x
    x = 29,821,614,088.93/264,658.50
  6. Step 6: Final answer
    x = 112,679.60

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1.5x scale

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.