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Finding the Fourth Proportional to 277,835.47, 416,816.35 and 117,917.24

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Solution

The fourth proportional to 277,835.47, 416,816.35 and 117,917.24 is: 176,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,835.47 : 416,816.35 = 117,917.24 : x
  2. Step 2: Convert to fraction form
    277,835.47/416,816.35 = 117,917.24/x
  3. Step 3: Cross multiply
    277,835.47x = 416,816.35 × 117,917.24
  4. Step 4: Simplify right side
    277,835.47x = 49,149,831,200.00
  5. Step 5: Solve for x
    x = 49,149,831,200.00/277,835.47
  6. Step 6: Final answer
    x = 176,902.65

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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.