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Finding the Fourth Proportional to 264,598.61, 396,921.60 and 75,060.77

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Solution

The fourth proportional to 264,598.61, 396,921.60 and 75,060.77 is: 112,597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,598.61 : 396,921.60 = 75,060.77 : x
  2. Step 2: Convert to fraction form
    264,598.61/396,921.60 = 75,060.77/x
  3. Step 3: Cross multiply
    264,598.61x = 396,921.60 × 75,060.77
  4. Step 4: Simplify right side
    264,598.61x = 29,793,238,941.02
  5. Step 5: Solve for x
    x = 29,793,238,941.02/264,598.61
  6. Step 6: Final answer
    x = 112,597.87

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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.