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Finding the Fourth Proportional to 398,523.15, 597,915.96 and 161,802.27

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Solution

The fourth proportional to 398,523.15, 597,915.96 and 161,802.27 is: 242,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,523.15 : 597,915.96 = 161,802.27 : x
  2. Step 2: Convert to fraction form
    398,523.15/597,915.96 = 161,802.27/x
  3. Step 3: Cross multiply
    398,523.15x = 597,915.96 × 161,802.27
  4. Step 4: Simplify right side
    398,523.15x = 96,744,158,788.22
  5. Step 5: Solve for x
    x = 96,744,158,788.22/398,523.15
  6. Step 6: Final answer
    x = 242,756.68

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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.