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Finding the Fourth Proportional to 561,055.68, 841,693.28 and 206,072.37

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Solution

The fourth proportional to 561,055.68, 841,693.28 and 206,072.37 is: 309,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,055.68 : 841,693.28 = 206,072.37 : x
  2. Step 2: Convert to fraction form
    561,055.68/841,693.28 = 206,072.37/x
  3. Step 3: Cross multiply
    561,055.68x = 841,693.28 × 206,072.37
  4. Step 4: Simplify right side
    561,055.68x = 173,449,727,992.31
  5. Step 5: Solve for x
    x = 173,449,727,992.31/561,055.68
  6. Step 6: Final answer
    x = 309,148.87

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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.