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Finding the Fourth Proportional to 313,468.90, 432,583.27 and 170,229.97

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Solution

The fourth proportional to 313,468.90, 432,583.27 and 170,229.97 is: 234,915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,468.90 : 432,583.27 = 170,229.97 : x
  2. Step 2: Convert to fraction form
    313,468.90/432,583.27 = 170,229.97/x
  3. Step 3: Cross multiply
    313,468.90x = 432,583.27 × 170,229.97
  4. Step 4: Simplify right side
    313,468.90x = 73,638,637,074.60
  5. Step 5: Solve for x
    x = 73,638,637,074.60/313,468.90
  6. Step 6: Final answer
    x = 234,915.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.