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Finding the Fourth Proportional to 409,561.95, 613,934.67 and 195,935.79

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Solution

The fourth proportional to 409,561.95, 613,934.67 and 195,935.79 is: 293,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,561.95 : 613,934.67 = 195,935.79 : x
  2. Step 2: Convert to fraction form
    409,561.95/613,934.67 = 195,935.79/x
  3. Step 3: Cross multiply
    409,561.95x = 613,934.67 × 195,935.79
  4. Step 4: Simplify right side
    409,561.95x = 120,291,774,574.84
  5. Step 5: Solve for x
    x = 120,291,774,574.84/409,561.95
  6. Step 6: Final answer
    x = 293,708.37

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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.