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Finding the Fourth Proportional to 284,557.56, 392,771.23 and 187,832.01

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Solution

The fourth proportional to 284,557.56, 392,771.23 and 187,832.01 is: 259,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,557.56 : 392,771.23 = 187,832.01 : x
  2. Step 2: Convert to fraction form
    284,557.56/392,771.23 = 187,832.01/x
  3. Step 3: Cross multiply
    284,557.56x = 392,771.23 × 187,832.01
  4. Step 4: Simplify right side
    284,557.56x = 73,775,010,604.38
  5. Step 5: Solve for x
    x = 73,775,010,604.38/284,557.56
  6. Step 6: Final answer
    x = 259,262.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.