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Finding the Fourth Proportional to 303,696.96, 455,547.06 and 199,177.80

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Solution

The fourth proportional to 303,696.96, 455,547.06 and 199,177.80 is: 298,767.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,696.96 : 455,547.06 = 199,177.80 : x
  2. Step 2: Convert to fraction form
    303,696.96/455,547.06 = 199,177.80/x
  3. Step 3: Cross multiply
    303,696.96x = 455,547.06 × 199,177.80
  4. Step 4: Simplify right side
    303,696.96x = 90,734,861,207.27
  5. Step 5: Solve for x
    x = 90,734,861,207.27/303,696.96
  6. Step 6: Final answer
    x = 298,767.76

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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.