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Finding the Fourth Proportional to 375,593.52, 518,323.14 and 205,824

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Solution

The fourth proportional to 375,593.52, 518,323.14 and 205,824 is: 284,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,593.52 : 518,323.14 = 205,824 : x
  2. Step 2: Convert to fraction form
    375,593.52/518,323.14 = 205,824/x
  3. Step 3: Cross multiply
    375,593.52x = 518,323.14 × 205,824
  4. Step 4: Simplify right side
    375,593.52x = 106,683,341,967.36
  5. Step 5: Solve for x
    x = 106,683,341,967.36/375,593.52
  6. Step 6: Final answer
    x = 284,039.36

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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.