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Finding the Fourth Proportional to 378,149.96, 566,881.64 and 188,668.28

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Solution

The fourth proportional to 378,149.96, 566,881.64 and 188,668.28 is: 282,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,149.96 : 566,881.64 = 188,668.28 : x
  2. Step 2: Convert to fraction form
    378,149.96/566,881.64 = 188,668.28/x
  3. Step 3: Cross multiply
    378,149.96x = 566,881.64 × 188,668.28
  4. Step 4: Simplify right side
    378,149.96x = 106,952,583,982.38
  5. Step 5: Solve for x
    x = 106,952,583,982.38/378,149.96
  6. Step 6: Final answer
    x = 282,831.14

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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.