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Finding the Fourth Proportional to 289,864.50, 399,876.93 and 205,028.34

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Solution

The fourth proportional to 289,864.50, 399,876.93 and 205,028.34 is: 282,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,864.50 : 399,876.93 = 205,028.34 : x
  2. Step 2: Convert to fraction form
    289,864.50/399,876.93 = 205,028.34/x
  3. Step 3: Cross multiply
    289,864.50x = 399,876.93 × 205,028.34
  4. Step 4: Simplify right side
    289,864.50x = 81,986,103,162.20
  5. Step 5: Solve for x
    x = 81,986,103,162.20/289,864.50
  6. Step 6: Final answer
    x = 282,842.86

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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.