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Finding the Fourth Proportional to 398,153.88, 597,476.25 and 161,498.61

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Solution

The fourth proportional to 398,153.88, 597,476.25 and 161,498.61 is: 242,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,153.88 : 597,476.25 = 161,498.61 : x
  2. Step 2: Convert to fraction form
    398,153.88/597,476.25 = 161,498.61/x
  3. Step 3: Cross multiply
    398,153.88x = 597,476.25 × 161,498.61
  4. Step 4: Simplify right side
    398,153.88x = 96,491,583,883.01
  5. Step 5: Solve for x
    x = 96,491,583,883.01/398,153.88
  6. Step 6: Final answer
    x = 242,347.47

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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.