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Finding the Fourth Proportional to 295,328.30, 442,992.45 and 206,681.90

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Solution

The fourth proportional to 295,328.30, 442,992.45 and 206,681.90 is: 310,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,328.30 : 442,992.45 = 206,681.90 : x
  2. Step 2: Convert to fraction form
    295,328.30/442,992.45 = 206,681.90/x
  3. Step 3: Cross multiply
    295,328.30x = 442,992.45 × 206,681.90
  4. Step 4: Simplify right side
    295,328.30x = 91,558,521,251.66
  5. Step 5: Solve for x
    x = 91,558,521,251.66/295,328.30
  6. Step 6: Final answer
    x = 310,022.85

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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.