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Finding the Fourth Proportional to 367,706.94, 507,437.55 and 206,568.78

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Solution

The fourth proportional to 367,706.94, 507,437.55 and 206,568.78 is: 285,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,706.94 : 507,437.55 = 206,568.78 : x
  2. Step 2: Convert to fraction form
    367,706.94/507,437.55 = 206,568.78/x
  3. Step 3: Cross multiply
    367,706.94x = 507,437.55 × 206,568.78
  4. Step 4: Simplify right side
    367,706.94x = 104,820,755,629.69
  5. Step 5: Solve for x
    x = 104,820,755,629.69/367,706.94
  6. Step 6: Final answer
    x = 285,066.02

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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.