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Finding the Fourth Proportional to 277,758.60, 383,304.96 and 150,431.28

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Solution

The fourth proportional to 277,758.60, 383,304.96 and 150,431.28 is: 207,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,758.60 : 383,304.96 = 150,431.28 : x
  2. Step 2: Convert to fraction form
    277,758.60/383,304.96 = 150,431.28/x
  3. Step 3: Cross multiply
    277,758.60x = 383,304.96 × 150,431.28
  4. Step 4: Simplify right side
    277,758.60x = 57,661,055,763.15
  5. Step 5: Solve for x
    x = 57,661,055,763.15/277,758.60
  6. Step 6: Final answer
    x = 207,594.13

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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.