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Finding the Fourth Proportional to 277,525.09, 416,398.20 and 165,258.28

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Solution

The fourth proportional to 277,525.09, 416,398.20 and 165,258.28 is: 247,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,525.09 : 416,398.20 = 165,258.28 : x
  2. Step 2: Convert to fraction form
    277,525.09/416,398.20 = 165,258.28/x
  3. Step 3: Cross multiply
    277,525.09x = 416,398.20 × 165,258.28
  4. Step 4: Simplify right side
    277,525.09x = 68,813,250,327.10
  5. Step 5: Solve for x
    x = 68,813,250,327.10/277,525.09
  6. Step 6: Final answer
    x = 247,953.26

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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.