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Finding the Fourth Proportional to 494,448.58, 741,672.84 and 178,831.66

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Solution

The fourth proportional to 494,448.58, 741,672.84 and 178,831.66 is: 268,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,448.58 : 741,672.84 = 178,831.66 : x
  2. Step 2: Convert to fraction form
    494,448.58/741,672.84 = 178,831.66/x
  3. Step 3: Cross multiply
    494,448.58x = 741,672.84 × 178,831.66
  4. Step 4: Simplify right side
    494,448.58x = 132,634,585,154.11
  5. Step 5: Solve for x
    x = 132,634,585,154.11/494,448.58
  6. Step 6: Final answer
    x = 268,247.48

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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.