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Finding the Fourth Proportional to 277,187.29, 416,481.57 and 265,977.24

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Solution

The fourth proportional to 277,187.29, 416,481.57 and 265,977.24 is: 399,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,187.29 : 416,481.57 = 265,977.24 : x
  2. Step 2: Convert to fraction form
    277,187.29/416,481.57 = 265,977.24/x
  3. Step 3: Cross multiply
    277,187.29x = 416,481.57 × 265,977.24
  4. Step 4: Simplify right side
    277,187.29x = 110,774,621,199.79
  5. Step 5: Solve for x
    x = 110,774,621,199.79/277,187.29
  6. Step 6: Final answer
    x = 399,638.17

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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.