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Finding the Fourth Proportional to 359,183.25, 538,963.50 and 159,646.83

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Solution

The fourth proportional to 359,183.25, 538,963.50 and 159,646.83 is: 239,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,183.25 : 538,963.50 = 159,646.83 : x
  2. Step 2: Convert to fraction form
    359,183.25/538,963.50 = 159,646.83/x
  3. Step 3: Cross multiply
    359,183.25x = 538,963.50 × 159,646.83
  4. Step 4: Simplify right side
    359,183.25x = 86,043,814,260.71
  5. Step 5: Solve for x
    x = 86,043,814,260.71/359,183.25
  6. Step 6: Final answer
    x = 239,554.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.