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Finding the Fourth Proportional to 302,634.40, 417,814.32 and 269,003.20

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Solution

The fourth proportional to 302,634.40, 417,814.32 and 269,003.20 is: 371,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,634.40 : 417,814.32 = 269,003.20 : x
  2. Step 2: Convert to fraction form
    302,634.40/417,814.32 = 269,003.20/x
  3. Step 3: Cross multiply
    302,634.40x = 417,814.32 × 269,003.20
  4. Step 4: Simplify right side
    302,634.40x = 112,393,389,085.82
  5. Step 5: Solve for x
    x = 112,393,389,085.82/302,634.40
  6. Step 6: Final answer
    x = 371,383.39

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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.