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Finding the Fourth Proportional to 398,154.88, 597,477.75 and 161,499.61

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Solution

The fourth proportional to 398,154.88, 597,477.75 and 161,499.61 is: 242,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,154.88 : 597,477.75 = 161,499.61 : x
  2. Step 2: Convert to fraction form
    398,154.88/597,477.75 = 161,499.61/x
  3. Step 3: Cross multiply
    398,154.88x = 597,477.75 × 161,499.61
  4. Step 4: Simplify right side
    398,154.88x = 96,492,423,608.68
  5. Step 5: Solve for x
    x = 96,492,423,608.68/398,154.88
  6. Step 6: Final answer
    x = 242,348.97

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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.