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Finding the Fourth Proportional to 298,225.92, 411,548.58 and 177,364.56

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Solution

The fourth proportional to 298,225.92, 411,548.58 and 177,364.56 is: 244,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,225.92 : 411,548.58 = 177,364.56 : x
  2. Step 2: Convert to fraction form
    298,225.92/411,548.58 = 177,364.56/x
  3. Step 3: Cross multiply
    298,225.92x = 411,548.58 × 177,364.56
  4. Step 4: Simplify right side
    298,225.92x = 72,994,131,932.13
  5. Step 5: Solve for x
    x = 72,994,131,932.13/298,225.92
  6. Step 6: Final answer
    x = 244,761.19

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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.