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Finding the Fourth Proportional to 508,102.73, 701,131.24 and 293,312

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Solution

The fourth proportional to 508,102.73, 701,131.24 and 293,312 is: 404,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,102.73 : 701,131.24 = 293,312 : x
  2. Step 2: Convert to fraction form
    508,102.73/701,131.24 = 293,312/x
  3. Step 3: Cross multiply
    508,102.73x = 701,131.24 × 293,312
  4. Step 4: Simplify right side
    508,102.73x = 205,650,206,266.88
  5. Step 5: Solve for x
    x = 205,650,206,266.88/508,102.73
  6. Step 6: Final answer
    x = 404,741.39

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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.