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Finding the Fourth Proportional to 277,887.31, 417,388.95 and 165,786.24

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Solution

The fourth proportional to 277,887.31, 417,388.95 and 165,786.24 is: 249,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,887.31 : 417,388.95 = 165,786.24 : x
  2. Step 2: Convert to fraction form
    277,887.31/417,388.95 = 165,786.24/x
  3. Step 3: Cross multiply
    277,887.31x = 417,388.95 × 165,786.24
  4. Step 4: Simplify right side
    277,887.31x = 69,197,346,203.26
  5. Step 5: Solve for x
    x = 69,197,346,203.26/277,887.31
  6. Step 6: Final answer
    x = 249,012.26

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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.