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Finding the Fourth Proportional to 291,777.26, 402,655.77 and 164,452.86

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Solution

The fourth proportional to 291,777.26, 402,655.77 and 164,452.86 is: 226,946.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,777.26 : 402,655.77 = 164,452.86 : x
  2. Step 2: Convert to fraction form
    291,777.26/402,655.77 = 164,452.86/x
  3. Step 3: Cross multiply
    291,777.26x = 402,655.77 × 164,452.86
  4. Step 4: Simplify right side
    291,777.26x = 66,217,892,972.00
  5. Step 5: Solve for x
    x = 66,217,892,972.00/291,777.26
  6. Step 6: Final answer
    x = 226,946.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.