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Finding the Fourth Proportional to 277,594.70, 416,329.78 and 127,691.03

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Solution

The fourth proportional to 277,594.70, 416,329.78 and 127,691.03 is: 191,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,594.70 : 416,329.78 = 127,691.03 : x
  2. Step 2: Convert to fraction form
    277,594.70/416,329.78 = 127,691.03/x
  3. Step 3: Cross multiply
    277,594.70x = 416,329.78 × 127,691.03
  4. Step 4: Simplify right side
    277,594.70x = 53,161,576,027.00
  5. Step 5: Solve for x
    x = 53,161,576,027.00/277,594.70
  6. Step 6: Final answer
    x = 191,507.90

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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.