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Finding the Fourth Proportional to 395,608.00, 545,938.38 and 214,324.53

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Solution

The fourth proportional to 395,608.00, 545,938.38 and 214,324.53 is: 295,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,608.00 : 545,938.38 = 214,324.53 : x
  2. Step 2: Convert to fraction form
    395,608.00/545,938.38 = 214,324.53/x
  3. Step 3: Cross multiply
    395,608.00x = 545,938.38 × 214,324.53
  4. Step 4: Simplify right side
    395,608.00x = 117,007,987,726.10
  5. Step 5: Solve for x
    x = 117,007,987,726.10/395,608.00
  6. Step 6: Final answer
    x = 295,767.50

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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.