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Finding the Fourth Proportional to 394,476.60, 591,714.90 and 184,135.80

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Solution

The fourth proportional to 394,476.60, 591,714.90 and 184,135.80 is: 276,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,476.60 : 591,714.90 = 184,135.80 : x
  2. Step 2: Convert to fraction form
    394,476.60/591,714.90 = 184,135.80/x
  3. Step 3: Cross multiply
    394,476.60x = 591,714.90 × 184,135.80
  4. Step 4: Simplify right side
    394,476.60x = 108,955,896,483.42
  5. Step 5: Solve for x
    x = 108,955,896,483.42/394,476.60
  6. Step 6: Final answer
    x = 276,203.70

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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.