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Finding the Fourth Proportional to 398,295.81, 597,443.72 and 117,791.19

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Solution

The fourth proportional to 398,295.81, 597,443.72 and 117,791.19 is: 176,686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,295.81 : 597,443.72 = 117,791.19 : x
  2. Step 2: Convert to fraction form
    398,295.81/597,443.72 = 117,791.19/x
  3. Step 3: Cross multiply
    398,295.81x = 597,443.72 × 117,791.19
  4. Step 4: Simplify right side
    398,295.81x = 70,373,606,147.87
  5. Step 5: Solve for x
    x = 70,373,606,147.87/398,295.81
  6. Step 6: Final answer
    x = 176,686.79

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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.