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Finding the Fourth Proportional to 538,541.56, 807,783.09 and 164,564.56

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Solution

The fourth proportional to 538,541.56, 807,783.09 and 164,564.56 is: 246,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,541.56 : 807,783.09 = 164,564.56 : x
  2. Step 2: Convert to fraction form
    538,541.56/807,783.09 = 164,564.56/x
  3. Step 3: Cross multiply
    538,541.56x = 807,783.09 × 164,564.56
  4. Step 4: Simplify right side
    538,541.56x = 132,932,468,781.29
  5. Step 5: Solve for x
    x = 132,932,468,781.29/538,541.56
  6. Step 6: Final answer
    x = 246,837.90

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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.