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Finding the Fourth Proportional to 256,831.20, 385,287.84 and 79,296.48

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Solution

The fourth proportional to 256,831.20, 385,287.84 and 79,296.48 is: 118,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,831.20 : 385,287.84 = 79,296.48 : x
  2. Step 2: Convert to fraction form
    256,831.20/385,287.84 = 79,296.48/x
  3. Step 3: Cross multiply
    256,831.20x = 385,287.84 × 79,296.48
  4. Step 4: Simplify right side
    256,831.20x = 30,551,969,498.80
  5. Step 5: Solve for x
    x = 30,551,969,498.80/256,831.20
  6. Step 6: Final answer
    x = 118,957.39

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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.