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Finding the Fourth Proportional to 206,424.30, 288,644.10 and 206,424.30

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Solution

The fourth proportional to 206,424.30, 288,644.10 and 206,424.30 is: 288,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,424.30 : 288,644.10 = 206,424.30 : x
  2. Step 2: Convert to fraction form
    206,424.30/288,644.10 = 206,424.30/x
  3. Step 3: Cross multiply
    206,424.30x = 288,644.10 × 206,424.30
  4. Step 4: Simplify right side
    206,424.30x = 59,583,156,291.63
  5. Step 5: Solve for x
    x = 59,583,156,291.63/206,424.30
  6. Step 6: Final answer
    x = 288,644.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.