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Finding the Fourth Proportional to 367,830.27, 507,651.12 and 206,681.81

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Solution

The fourth proportional to 367,830.27, 507,651.12 and 206,681.81 is: 285,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,830.27 : 507,651.12 = 206,681.81 : x
  2. Step 2: Convert to fraction form
    367,830.27/507,651.12 = 206,681.81/x
  3. Step 3: Cross multiply
    367,830.27x = 507,651.12 × 206,681.81
  4. Step 4: Simplify right side
    367,830.27x = 104,922,253,599.26
  5. Step 5: Solve for x
    x = 104,922,253,599.26/367,830.27
  6. Step 6: Final answer
    x = 285,246.38

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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.