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Finding the Fourth Proportional to 519,959.14, 717,558.33 and 293,638.66

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Solution

The fourth proportional to 519,959.14, 717,558.33 and 293,638.66 is: 405,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,959.14 : 717,558.33 = 293,638.66 : x
  2. Step 2: Convert to fraction form
    519,959.14/717,558.33 = 293,638.66/x
  3. Step 3: Cross multiply
    519,959.14x = 717,558.33 × 293,638.66
  4. Step 4: Simplify right side
    519,959.14x = 210,702,866,493.04
  5. Step 5: Solve for x
    x = 210,702,866,493.04/519,959.14
  6. Step 6: Final answer
    x = 405,229.66

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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.