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Finding the Fourth Proportional to 508,083.84, 701,181.36 and 293,291.28

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Solution

The fourth proportional to 508,083.84, 701,181.36 and 293,291.28 is: 404,756.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,083.84 : 701,181.36 = 293,291.28 : x
  2. Step 2: Convert to fraction form
    508,083.84/701,181.36 = 293,291.28/x
  3. Step 3: Cross multiply
    508,083.84x = 701,181.36 × 293,291.28
  4. Step 4: Simplify right side
    508,083.84x = 205,650,378,586.54
  5. Step 5: Solve for x
    x = 205,650,378,586.54/508,083.84
  6. Step 6: Final answer
    x = 404,756.78

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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.