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Finding the Fourth Proportional to 394,706.33, 591,968.93 and 110,417.01

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Solution

The fourth proportional to 394,706.33, 591,968.93 and 110,417.01 is: 165,600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,706.33 : 591,968.93 = 110,417.01 : x
  2. Step 2: Convert to fraction form
    394,706.33/591,968.93 = 110,417.01/x
  3. Step 3: Cross multiply
    394,706.33x = 591,968.93 × 110,417.01
  4. Step 4: Simplify right side
    394,706.33x = 65,363,438,711.41
  5. Step 5: Solve for x
    x = 65,363,438,711.41/394,706.33
  6. Step 6: Final answer
    x = 165,600.18

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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.