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Finding the Fourth Proportional to 552,183.40, 829,052.70 and 342,231.40

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Solution

The fourth proportional to 552,183.40, 829,052.70 and 342,231.40 is: 513,829.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,183.40 : 829,052.70 = 342,231.40 : x
  2. Step 2: Convert to fraction form
    552,183.40/829,052.70 = 342,231.40/x
  3. Step 3: Cross multiply
    552,183.40x = 829,052.70 × 342,231.40
  4. Step 4: Simplify right side
    552,183.40x = 283,727,866,194.78
  5. Step 5: Solve for x
    x = 283,727,866,194.78/552,183.40
  6. Step 6: Final answer
    x = 513,829.04

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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.