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Finding the Fourth Proportional to 507,232.72, 699,981.60 and 280,873.36

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Solution

The fourth proportional to 507,232.72, 699,981.60 and 280,873.36 is: 387,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,232.72 : 699,981.60 = 280,873.36 : x
  2. Step 2: Convert to fraction form
    507,232.72/699,981.60 = 280,873.36/x
  3. Step 3: Cross multiply
    507,232.72x = 699,981.60 × 280,873.36
  4. Step 4: Simplify right side
    507,232.72x = 196,606,183,930.18
  5. Step 5: Solve for x
    x = 196,606,183,930.18/507,232.72
  6. Step 6: Final answer
    x = 387,605.48

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Why These Related Problems?

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