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Finding the Fourth Proportional to 382,399.92, 572,478.44 and 268,151.58

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Solution

The fourth proportional to 382,399.92, 572,478.44 and 268,151.58 is: 401,440.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,399.92 : 572,478.44 = 268,151.58 : x
  2. Step 2: Convert to fraction form
    382,399.92/572,478.44 = 268,151.58/x
  3. Step 3: Cross multiply
    382,399.92x = 572,478.44 × 268,151.58
  4. Step 4: Simplify right side
    382,399.92x = 153,510,996,861.18
  5. Step 5: Solve for x
    x = 153,510,996,861.18/382,399.92
  6. Step 6: Final answer
    x = 401,440.98

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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.