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Finding the Fourth Proportional to 561,610.26, 842,249.00 and 162,254.61

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Solution

The fourth proportional to 561,610.26, 842,249.00 and 162,254.61 is: 243,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,610.26 : 842,249.00 = 162,254.61 : x
  2. Step 2: Convert to fraction form
    561,610.26/842,249.00 = 162,254.61/x
  3. Step 3: Cross multiply
    561,610.26x = 842,249.00 × 162,254.61
  4. Step 4: Simplify right side
    561,610.26x = 136,658,783,423.53
  5. Step 5: Solve for x
    x = 136,658,783,423.53/561,610.26
  6. Step 6: Final answer
    x = 243,333.84

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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.