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Finding the Fourth Proportional to 295,298.38, 442,282.82 and 206,946.32

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Solution

The fourth proportional to 295,298.38, 442,282.82 and 206,946.32 is: 309,953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,298.38 : 442,282.82 = 206,946.32 : x
  2. Step 2: Convert to fraction form
    295,298.38/442,282.82 = 206,946.32/x
  3. Step 3: Cross multiply
    295,298.38x = 442,282.82 × 206,946.32
  4. Step 4: Simplify right side
    295,298.38x = 91,528,801,998.22
  5. Step 5: Solve for x
    x = 91,528,801,998.22/295,298.38
  6. Step 6: Final answer
    x = 309,953.62

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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.