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Finding the Fourth Proportional to 507,803.97, 700,769.47 and 281,449.47

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Solution

The fourth proportional to 507,803.97, 700,769.47 and 281,449.47 is: 388,400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,803.97 : 700,769.47 = 281,449.47 : x
  2. Step 2: Convert to fraction form
    507,803.97/700,769.47 = 281,449.47/x
  3. Step 3: Cross multiply
    507,803.97x = 700,769.47 × 281,449.47
  4. Step 4: Simplify right side
    507,803.97x = 197,231,195,923.68
  5. Step 5: Solve for x
    x = 197,231,195,923.68/507,803.97
  6. Step 6: Final answer
    x = 388,400.26

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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.