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Finding the Fourth Proportional to 298,715.48, 411,999.72 and 203,060.96

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Solution

The fourth proportional to 298,715.48, 411,999.72 and 203,060.96 is: 280,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,715.48 : 411,999.72 = 203,060.96 : x
  2. Step 2: Convert to fraction form
    298,715.48/411,999.72 = 203,060.96/x
  3. Step 3: Cross multiply
    298,715.48x = 411,999.72 × 203,060.96
  4. Step 4: Simplify right side
    298,715.48x = 83,661,058,662.93
  5. Step 5: Solve for x
    x = 83,661,058,662.93/298,715.48
  6. Step 6: Final answer
    x = 280,069.38

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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.