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Finding the Fourth Proportional to 257,898.40, 386,847.60 and 169,424.80

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Solution

The fourth proportional to 257,898.40, 386,847.60 and 169,424.80 is: 254,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,898.40 : 386,847.60 = 169,424.80 : x
  2. Step 2: Convert to fraction form
    257,898.40/386,847.60 = 169,424.80/x
  3. Step 3: Cross multiply
    257,898.40x = 386,847.60 × 169,424.80
  4. Step 4: Simplify right side
    257,898.40x = 65,541,577,260.48
  5. Step 5: Solve for x
    x = 65,541,577,260.48/257,898.40
  6. Step 6: Final answer
    x = 254,137.20

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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.