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Finding the Fourth Proportional to 257,914.40, 386,871.60 and 169,440.80

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Solution

The fourth proportional to 257,914.40, 386,871.60 and 169,440.80 is: 254,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,914.40 : 386,871.60 = 169,440.80 : x
  2. Step 2: Convert to fraction form
    257,914.40/386,871.60 = 169,440.80/x
  3. Step 3: Cross multiply
    257,914.40x = 386,871.60 × 169,440.80
  4. Step 4: Simplify right side
    257,914.40x = 65,551,833,401.28
  5. Step 5: Solve for x
    x = 65,551,833,401.28/257,914.40
  6. Step 6: Final answer
    x = 254,161.20

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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.