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Finding the Fourth Proportional to 519,816.53, 717,388.49 and 413,265.89

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Solution

The fourth proportional to 519,816.53, 717,388.49 and 413,265.89 is: 570,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,816.53 : 717,388.49 = 413,265.89 : x
  2. Step 2: Convert to fraction form
    519,816.53/717,388.49 = 413,265.89/x
  3. Step 3: Cross multiply
    519,816.53x = 717,388.49 × 413,265.89
  4. Step 4: Simplify right side
    519,816.53x = 296,472,190,729.28
  5. Step 5: Solve for x
    x = 296,472,190,729.28/519,816.53
  6. Step 6: Final answer
    x = 570,340.06

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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.