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Finding the Fourth Proportional to 277,764.40, 416,063.40 and 231,108.40

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Solution

The fourth proportional to 277,764.40, 416,063.40 and 231,108.40 is: 346,177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,764.40 : 416,063.40 = 231,108.40 : x
  2. Step 2: Convert to fraction form
    277,764.40/416,063.40 = 231,108.40/x
  3. Step 3: Cross multiply
    277,764.40x = 416,063.40 × 231,108.40
  4. Step 4: Simplify right side
    277,764.40x = 96,155,746,672.56
  5. Step 5: Solve for x
    x = 96,155,746,672.56/277,764.40
  6. Step 6: Final answer
    x = 346,177.36

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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.