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Finding the Fourth Proportional to 507,024.66, 699,694.20 and 280,670.16

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Solution

The fourth proportional to 507,024.66, 699,694.20 and 280,670.16 is: 387,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,024.66 : 699,694.20 = 280,670.16 : x
  2. Step 2: Convert to fraction form
    507,024.66/699,694.20 = 280,670.16/x
  3. Step 3: Cross multiply
    507,024.66x = 699,694.20 × 280,670.16
  4. Step 4: Simplify right side
    507,024.66x = 196,383,285,688.93
  5. Step 5: Solve for x
    x = 196,383,285,688.93/507,024.66
  6. Step 6: Final answer
    x = 387,324.92

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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.