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Finding the Fourth Proportional to 509,824.48, 703,553.52 and 283,468

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Solution

The fourth proportional to 509,824.48, 703,553.52 and 283,468 is: 391,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,824.48 : 703,553.52 = 283,468 : x
  2. Step 2: Convert to fraction form
    509,824.48/703,553.52 = 283,468/x
  3. Step 3: Cross multiply
    509,824.48x = 703,553.52 × 283,468
  4. Step 4: Simplify right side
    509,824.48x = 199,434,909,207.36
  5. Step 5: Solve for x
    x = 199,434,909,207.36/509,824.48
  6. Step 6: Final answer
    x = 391,183.47

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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.