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Finding the Fourth Proportional to 380,196.80, 569,834.40 and 169,611.20

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Solution

The fourth proportional to 380,196.80, 569,834.40 and 169,611.20 is: 254,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,196.80 : 569,834.40 = 169,611.20 : x
  2. Step 2: Convert to fraction form
    380,196.80/569,834.40 = 169,611.20/x
  3. Step 3: Cross multiply
    380,196.80x = 569,834.40 × 169,611.20
  4. Step 4: Simplify right side
    380,196.80x = 96,650,296,385.28
  5. Step 5: Solve for x
    x = 96,650,296,385.28/380,196.80
  6. Step 6: Final answer
    x = 254,211.23

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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.