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Finding the Fourth Proportional to 277,854.81, 416,339.34 and 177,932.80

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Solution

The fourth proportional to 277,854.81, 416,339.34 and 177,932.80 is: 266,615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,854.81 : 416,339.34 = 177,932.80 : x
  2. Step 2: Convert to fraction form
    277,854.81/416,339.34 = 177,932.80/x
  3. Step 3: Cross multiply
    277,854.81x = 416,339.34 × 177,932.80
  4. Step 4: Simplify right side
    277,854.81x = 74,080,424,516.35
  5. Step 5: Solve for x
    x = 74,080,424,516.35/277,854.81
  6. Step 6: Final answer
    x = 266,615.59

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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.