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Finding the Fourth Proportional to 508,100.22, 701,127.76 and 293,309.48

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Solution

The fourth proportional to 508,100.22, 701,127.76 and 293,309.48 is: 404,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,100.22 : 701,127.76 = 293,309.48 : x
  2. Step 2: Convert to fraction form
    508,100.22/701,127.76 = 293,309.48/x
  3. Step 3: Cross multiply
    508,100.22x = 701,127.76 × 293,309.48
  4. Step 4: Simplify right side
    508,100.22x = 205,647,418,699.17
  5. Step 5: Solve for x
    x = 205,647,418,699.17/508,100.22
  6. Step 6: Final answer
    x = 404,737.91

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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.