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Finding the Fourth Proportional to 395,117.88, 545,262.69 and 213,829.83

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Solution

The fourth proportional to 395,117.88, 545,262.69 and 213,829.83 is: 295,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,117.88 : 545,262.69 = 213,829.83 : x
  2. Step 2: Convert to fraction form
    395,117.88/545,262.69 = 213,829.83/x
  3. Step 3: Cross multiply
    395,117.88x = 545,262.69 × 213,829.83
  4. Step 4: Simplify right side
    395,117.88x = 116,593,428,308.04
  5. Step 5: Solve for x
    x = 116,593,428,308.04/395,117.88
  6. Step 6: Final answer
    x = 295,085.17

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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.