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Finding the Fourth Proportional to 667,547.91, 1,001,417.30 and 205,965

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Solution

The fourth proportional to 667,547.91, 1,001,417.30 and 205,965 is: 308,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,547.91 : 1,001,417.30 = 205,965 : x
  2. Step 2: Convert to fraction form
    667,547.91/1,001,417.30 = 205,965/x
  3. Step 3: Cross multiply
    667,547.91x = 1,001,417.30 × 205,965
  4. Step 4: Simplify right side
    667,547.91x = 206,256,913,164.68
  5. Step 5: Solve for x
    x = 206,256,913,164.68/667,547.91
  6. Step 6: Final answer
    x = 308,976.94

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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.