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Finding the Fourth Proportional to 298,015.94, 411,093.66 and 177,196.19

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Solution

The fourth proportional to 298,015.94, 411,093.66 and 177,196.19 is: 244,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,015.94 : 411,093.66 = 177,196.19 : x
  2. Step 2: Convert to fraction form
    298,015.94/411,093.66 = 177,196.19/x
  3. Step 3: Cross multiply
    298,015.94x = 411,093.66 × 177,196.19
  4. Step 4: Simplify right side
    298,015.94x = 72,844,231,312.89
  5. Step 5: Solve for x
    x = 72,844,231,312.89/298,015.94
  6. Step 6: Final answer
    x = 244,430.66

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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.