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Finding the Fourth Proportional to 277,498.47, 382,949.07 and 150,174.06

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Solution

The fourth proportional to 277,498.47, 382,949.07 and 150,174.06 is: 207,240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,498.47 : 382,949.07 = 150,174.06 : x
  2. Step 2: Convert to fraction form
    277,498.47/382,949.07 = 150,174.06/x
  3. Step 3: Cross multiply
    277,498.47x = 382,949.07 × 150,174.06
  4. Step 4: Simplify right side
    277,498.47x = 57,509,016,615.12
  5. Step 5: Solve for x
    x = 57,509,016,615.12/277,498.47
  6. Step 6: Final answer
    x = 207,240.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.