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Finding the Fourth Proportional to 303,275.16, 418,435.74 and 195,849.72

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Solution

The fourth proportional to 303,275.16, 418,435.74 and 195,849.72 is: 270,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,275.16 : 418,435.74 = 195,849.72 : x
  2. Step 2: Convert to fraction form
    303,275.16/418,435.74 = 195,849.72/x
  3. Step 3: Cross multiply
    303,275.16x = 418,435.74 × 195,849.72
  4. Step 4: Simplify right side
    303,275.16x = 81,950,522,516.99
  5. Step 5: Solve for x
    x = 81,950,522,516.99/303,275.16
  6. Step 6: Final answer
    x = 270,218.38

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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.