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Finding the Fourth Proportional to 382,906.70, 574,360.14 and 172,298.60

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Solution

The fourth proportional to 382,906.70, 574,360.14 and 172,298.60 is: 258,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,906.70 : 574,360.14 = 172,298.60 : x
  2. Step 2: Convert to fraction form
    382,906.70/574,360.14 = 172,298.60/x
  3. Step 3: Cross multiply
    382,906.70x = 574,360.14 × 172,298.60
  4. Step 4: Simplify right side
    382,906.70x = 98,961,448,017.80
  5. Step 5: Solve for x
    x = 98,961,448,017.80/382,906.70
  6. Step 6: Final answer
    x = 258,447.94

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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.