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Finding the Fourth Proportional to 257,738.40, 386,953.20 and 164,426.40

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Solution

The fourth proportional to 257,738.40, 386,953.20 and 164,426.40 is: 246,860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,738.40 : 386,953.20 = 164,426.40 : x
  2. Step 2: Convert to fraction form
    257,738.40/386,953.20 = 164,426.40/x
  3. Step 3: Cross multiply
    257,738.40x = 386,953.20 × 164,426.40
  4. Step 4: Simplify right side
    257,738.40x = 63,625,321,644.48
  5. Step 5: Solve for x
    x = 63,625,321,644.48/257,738.40
  6. Step 6: Final answer
    x = 246,860.08

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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.