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Finding the Fourth Proportional to 386,777.43, 533,762.06 and 217,024.11

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Solution

The fourth proportional to 386,777.43, 533,762.06 and 217,024.11 is: 299,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,777.43 : 533,762.06 = 217,024.11 : x
  2. Step 2: Convert to fraction form
    386,777.43/533,762.06 = 217,024.11/x
  3. Step 3: Cross multiply
    386,777.43x = 533,762.06 × 217,024.11
  4. Step 4: Simplify right side
    386,777.43x = 115,839,234,938.15
  5. Step 5: Solve for x
    x = 115,839,234,938.15/386,777.43
  6. Step 6: Final answer
    x = 299,498.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.