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Finding the Fourth Proportional to 519,696.75, 717,181.56 and 293,356.83

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Solution

The fourth proportional to 519,696.75, 717,181.56 and 293,356.83 is: 404,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,696.75 : 717,181.56 = 293,356.83 : x
  2. Step 2: Convert to fraction form
    519,696.75/717,181.56 = 293,356.83/x
  3. Step 3: Cross multiply
    519,696.75x = 717,181.56 × 293,356.83
  4. Step 4: Simplify right side
    519,696.75x = 210,390,108,976.06
  5. Step 5: Solve for x
    x = 210,390,108,976.06/519,696.75
  6. Step 6: Final answer
    x = 404,832.45

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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.