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Finding the Fourth Proportional to 380,200.80, 569,840.40 and 169,615.20

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Solution

The fourth proportional to 380,200.80, 569,840.40 and 169,615.20 is: 254,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,200.80 : 569,840.40 = 169,615.20 : x
  2. Step 2: Convert to fraction form
    380,200.80/569,840.40 = 169,615.20/x
  3. Step 3: Cross multiply
    380,200.80x = 569,840.40 × 169,615.20
  4. Step 4: Simplify right side
    380,200.80x = 96,653,593,414.08
  5. Step 5: Solve for x
    x = 96,653,593,414.08/380,200.80
  6. Step 6: Final answer
    x = 254,217.23

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1.5x scale

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.