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Finding the Fourth Proportional to 277,592.57, 416,326.59 and 127,688.90

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Solution

The fourth proportional to 277,592.57, 416,326.59 and 127,688.90 is: 191,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,592.57 : 416,326.59 = 127,688.90 : x
  2. Step 2: Convert to fraction form
    277,592.57/416,326.59 = 127,688.90/x
  3. Step 3: Cross multiply
    277,592.57x = 416,326.59 × 127,688.90
  4. Step 4: Simplify right side
    277,592.57x = 53,160,284,317.85
  5. Step 5: Solve for x
    x = 53,160,284,317.85/277,592.57
  6. Step 6: Final answer
    x = 191,504.71

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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.