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Finding the Fourth Proportional to 398,337.80, 597,492.30 and 161,673.80

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Solution

The fourth proportional to 398,337.80, 597,492.30 and 161,673.80 is: 242,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,337.80 : 597,492.30 = 161,673.80 : x
  2. Step 2: Convert to fraction form
    398,337.80/597,492.30 = 161,673.80/x
  3. Step 3: Cross multiply
    398,337.80x = 597,492.30 × 161,673.80
  4. Step 4: Simplify right side
    398,337.80x = 96,598,850,611.74
  5. Step 5: Solve for x
    x = 96,598,850,611.74/398,337.80
  6. Step 6: Final answer
    x = 242,504.86

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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.