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Finding the Fourth Proportional to 560,016.73, 839,762.38 and 204,782.32

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Solution

The fourth proportional to 560,016.73, 839,762.38 and 204,782.32 is: 307,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,016.73 : 839,762.38 = 204,782.32 : x
  2. Step 2: Convert to fraction form
    560,016.73/839,762.38 = 204,782.32/x
  3. Step 3: Cross multiply
    560,016.73x = 839,762.38 × 204,782.32
  4. Step 4: Simplify right side
    560,016.73x = 171,968,488,425.12
  5. Step 5: Solve for x
    x = 171,968,488,425.12/560,016.73
  6. Step 6: Final answer
    x = 307,077.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.