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Finding the Fourth Proportional to 543,832.72, 815,564.44 and 206,792.08

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Solution

The fourth proportional to 543,832.72, 815,564.44 and 206,792.08 is: 310,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,832.72 : 815,564.44 = 206,792.08 : x
  2. Step 2: Convert to fraction form
    543,832.72/815,564.44 = 206,792.08/x
  3. Step 3: Cross multiply
    543,832.72x = 815,564.44 × 206,792.08
  4. Step 4: Simplify right side
    543,832.72x = 168,652,266,921.64
  5. Step 5: Solve for x
    x = 168,652,266,921.64/543,832.72
  6. Step 6: Final answer
    x = 310,117.91

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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.