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Finding the Fourth Proportional to 398,717.98, 597,995.39 and 114,332.33

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Solution

The fourth proportional to 398,717.98, 597,995.39 and 114,332.33 is: 171,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,717.98 : 597,995.39 = 114,332.33 : x
  2. Step 2: Convert to fraction form
    398,717.98/597,995.39 = 114,332.33/x
  3. Step 3: Cross multiply
    398,717.98x = 597,995.39 × 114,332.33
  4. Step 4: Simplify right side
    398,717.98x = 68,370,208,048.78
  5. Step 5: Solve for x
    x = 68,370,208,048.78/398,717.98
  6. Step 6: Final answer
    x = 171,475.11

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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.