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Finding the Fourth Proportional to 543,307.82, 814,777.16 and 188,238.96

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Solution

The fourth proportional to 543,307.82, 814,777.16 and 188,238.96 is: 282,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,307.82 : 814,777.16 = 188,238.96 : x
  2. Step 2: Convert to fraction form
    543,307.82/814,777.16 = 188,238.96/x
  3. Step 3: Cross multiply
    543,307.82x = 814,777.16 × 188,238.96
  4. Step 4: Simplify right side
    543,307.82x = 153,372,804,288.96
  5. Step 5: Solve for x
    x = 153,372,804,288.96/543,307.82
  6. Step 6: Final answer
    x = 282,294.49

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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.