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Finding the Fourth Proportional to 509,823.48, 703,552.14 and 283,467

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Solution

The fourth proportional to 509,823.48, 703,552.14 and 283,467 is: 391,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,823.48 : 703,552.14 = 283,467 : x
  2. Step 2: Convert to fraction form
    509,823.48/703,552.14 = 283,467/x
  3. Step 3: Cross multiply
    509,823.48x = 703,552.14 × 283,467
  4. Step 4: Simplify right side
    509,823.48x = 199,433,814,469.38
  5. Step 5: Solve for x
    x = 199,433,814,469.38/509,823.48
  6. Step 6: Final answer
    x = 391,182.09

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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.