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Finding the Fourth Proportional to 471,183.53, 650,225.61 and 256,329

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Solution

The fourth proportional to 471,183.53, 650,225.61 and 256,329 is: 353,729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,183.53 : 650,225.61 = 256,329 : x
  2. Step 2: Convert to fraction form
    471,183.53/650,225.61 = 256,329/x
  3. Step 3: Cross multiply
    471,183.53x = 650,225.61 × 256,329
  4. Step 4: Simplify right side
    471,183.53x = 166,671,680,385.69
  5. Step 5: Solve for x
    x = 166,671,680,385.69/471,183.53
  6. Step 6: Final answer
    x = 353,729.86

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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.