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Finding the Fourth Proportional to 457,556.81, 686,443.19 and 158,039.87

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Solution

The fourth proportional to 457,556.81, 686,443.19 and 158,039.87 is: 237,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,556.81 : 686,443.19 = 158,039.87 : x
  2. Step 2: Convert to fraction form
    457,556.81/686,443.19 = 158,039.87/x
  3. Step 3: Cross multiply
    457,556.81x = 686,443.19 × 158,039.87
  4. Step 4: Simplify right side
    457,556.81x = 108,485,388,287.57
  5. Step 5: Solve for x
    x = 108,485,388,287.57/457,556.81
  6. Step 6: Final answer
    x = 237,097.09

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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.