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Finding the Fourth Proportional to 277,715.52, 416,015.46 and 127,747.26

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Solution

The fourth proportional to 277,715.52, 416,015.46 and 127,747.26 is: 191,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,715.52 : 416,015.46 = 127,747.26 : x
  2. Step 2: Convert to fraction form
    277,715.52/416,015.46 = 127,747.26/x
  3. Step 3: Cross multiply
    277,715.52x = 416,015.46 × 127,747.26
  4. Step 4: Simplify right side
    277,715.52x = 53,144,835,132.64
  5. Step 5: Solve for x
    x = 53,144,835,132.64/277,715.52
  6. Step 6: Final answer
    x = 191,364.30

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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.