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Finding the Fourth Proportional to 277,594.57, 416,329.59 and 127,690.90

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Solution

The fourth proportional to 277,594.57, 416,329.59 and 127,690.90 is: 191,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,594.57 : 416,329.59 = 127,690.90 : x
  2. Step 2: Convert to fraction form
    277,594.57/416,329.59 = 127,690.90/x
  3. Step 3: Cross multiply
    277,594.57x = 416,329.59 × 127,690.90
  4. Step 4: Simplify right side
    277,594.57x = 53,161,500,043.73
  5. Step 5: Solve for x
    x = 53,161,500,043.73/277,594.57
  6. Step 6: Final answer
    x = 191,507.71

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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.