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Finding the Fourth Proportional to 589,306.32, 883,679.42 and 269,364.42

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Solution

The fourth proportional to 589,306.32, 883,679.42 and 269,364.42 is: 403,918.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,306.32 : 883,679.42 = 269,364.42 : x
  2. Step 2: Convert to fraction form
    589,306.32/883,679.42 = 269,364.42/x
  3. Step 3: Cross multiply
    589,306.32x = 883,679.42 × 269,364.42
  4. Step 4: Simplify right side
    589,306.32x = 238,031,795,107.65
  5. Step 5: Solve for x
    x = 238,031,795,107.65/589,306.32
  6. Step 6: Final answer
    x = 403,918.62

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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.