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Finding the Fourth Proportional to 374,165.50, 561,295.94 and 171,712.48

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Solution

The fourth proportional to 374,165.50, 561,295.94 and 171,712.48 is: 257,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,165.50 : 561,295.94 = 171,712.48 : x
  2. Step 2: Convert to fraction form
    374,165.50/561,295.94 = 171,712.48/x
  3. Step 3: Cross multiply
    374,165.50x = 561,295.94 × 171,712.48
  4. Step 4: Simplify right side
    374,165.50x = 96,381,517,871.33
  5. Step 5: Solve for x
    x = 96,381,517,871.33/374,165.50
  6. Step 6: Final answer
    x = 257,590.61

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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.