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Finding the Fourth Proportional to 384,601.80, 576,902.70 and 342,822.60

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Solution

The fourth proportional to 384,601.80, 576,902.70 and 342,822.60 is: 514,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,601.80 : 576,902.70 = 342,822.60 : x
  2. Step 2: Convert to fraction form
    384,601.80/576,902.70 = 342,822.60/x
  3. Step 3: Cross multiply
    384,601.80x = 576,902.70 × 342,822.60
  4. Step 4: Simplify right side
    384,601.80x = 197,775,283,561.02
  5. Step 5: Solve for x
    x = 197,775,283,561.02/384,601.80
  6. Step 6: Final answer
    x = 514,233.90

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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.