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Finding the Fourth Proportional to 394,008.93, 591,064.46 and 180,725.40

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Solution

The fourth proportional to 394,008.93, 591,064.46 and 180,725.40 is: 271,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,008.93 : 591,064.46 = 180,725.40 : x
  2. Step 2: Convert to fraction form
    394,008.93/591,064.46 = 180,725.40/x
  3. Step 3: Cross multiply
    394,008.93x = 591,064.46 × 180,725.40
  4. Step 4: Simplify right side
    394,008.93x = 106,820,360,959.28
  5. Step 5: Solve for x
    x = 106,820,360,959.28/394,008.93
  6. Step 6: Final answer
    x = 271,111.52

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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.