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Finding the Fourth Proportional to 461,797.70, 637,274.16 and 257,851.80

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Solution

The fourth proportional to 461,797.70, 637,274.16 and 257,851.80 is: 355,831.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,797.70 : 637,274.16 = 257,851.80 : x
  2. Step 2: Convert to fraction form
    461,797.70/637,274.16 = 257,851.80/x
  3. Step 3: Cross multiply
    461,797.70x = 637,274.16 × 257,851.80
  4. Step 4: Simplify right side
    461,797.70x = 164,322,289,249.49
  5. Step 5: Solve for x
    x = 164,322,289,249.49/461,797.70
  6. Step 6: Final answer
    x = 355,831.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.