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Finding the Fourth Proportional to 268,619.65, 402,523.51 and 179,714

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Solution

The fourth proportional to 268,619.65, 402,523.51 and 179,714 is: 269,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,619.65 : 402,523.51 = 179,714 : x
  2. Step 2: Convert to fraction form
    268,619.65/402,523.51 = 179,714/x
  3. Step 3: Cross multiply
    268,619.65x = 402,523.51 × 179,714
  4. Step 4: Simplify right side
    268,619.65x = 72,339,110,076.14
  5. Step 5: Solve for x
    x = 72,339,110,076.14/268,619.65
  6. Step 6: Final answer
    x = 269,299.40

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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.