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Finding the Fourth Proportional to 343,409.70, 515,114.55 and 231,435.30

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Solution

The fourth proportional to 343,409.70, 515,114.55 and 231,435.30 is: 347,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,409.70 : 515,114.55 = 231,435.30 : x
  2. Step 2: Convert to fraction form
    343,409.70/515,114.55 = 231,435.30/x
  3. Step 3: Cross multiply
    343,409.70x = 515,114.55 × 231,435.30
  4. Step 4: Simplify right side
    343,409.70x = 119,215,690,413.62
  5. Step 5: Solve for x
    x = 119,215,690,413.62/343,409.70
  6. Step 6: Final answer
    x = 347,152.95

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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.