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Finding the Fourth Proportional to 277,990.47, 416,827.73 and 109,419.46

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Solution

The fourth proportional to 277,990.47, 416,827.73 and 109,419.46 is: 164,067.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,990.47 : 416,827.73 = 109,419.46 : x
  2. Step 2: Convert to fraction form
    277,990.47/416,827.73 = 109,419.46/x
  3. Step 3: Cross multiply
    277,990.47x = 416,827.73 × 109,419.46
  4. Step 4: Simplify right side
    277,990.47x = 45,609,064,361.11
  5. Step 5: Solve for x
    x = 45,609,064,361.11/277,990.47
  6. Step 6: Final answer
    x = 164,067.01

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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.