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Finding the Fourth Proportional to 519,083.12, 716,199.12 and 304,107.56

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Solution

The fourth proportional to 519,083.12, 716,199.12 and 304,107.56 is: 419,589.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,083.12 : 716,199.12 = 304,107.56 : x
  2. Step 2: Convert to fraction form
    519,083.12/716,199.12 = 304,107.56/x
  3. Step 3: Cross multiply
    519,083.12x = 716,199.12 × 304,107.56
  4. Step 4: Simplify right side
    519,083.12x = 217,801,566,857.35
  5. Step 5: Solve for x
    x = 217,801,566,857.35/519,083.12
  6. Step 6: Final answer
    x = 419,589.00

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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.