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Finding the Fourth Proportional to 257,262.16, 384,142.02 and 227,024.08

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Solution

The fourth proportional to 257,262.16, 384,142.02 and 227,024.08 is: 338,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,262.16 : 384,142.02 = 227,024.08 : x
  2. Step 2: Convert to fraction form
    257,262.16/384,142.02 = 227,024.08/x
  3. Step 3: Cross multiply
    257,262.16x = 384,142.02 × 227,024.08
  4. Step 4: Simplify right side
    257,262.16x = 87,209,488,679.84
  5. Step 5: Solve for x
    x = 87,209,488,679.84/257,262.16
  6. Step 6: Final answer
    x = 338,990.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.