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Finding the Fourth Proportional to 412,934.40, 569,846.40 and 234,092.80

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Solution

The fourth proportional to 412,934.40, 569,846.40 and 234,092.80 is: 323,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,934.40 : 569,846.40 = 234,092.80 : x
  2. Step 2: Convert to fraction form
    412,934.40/569,846.40 = 234,092.80/x
  3. Step 3: Cross multiply
    412,934.40x = 569,846.40 × 234,092.80
  4. Step 4: Simplify right side
    412,934.40x = 133,396,939,345.92
  5. Step 5: Solve for x
    x = 133,396,939,345.92/412,934.40
  6. Step 6: Final answer
    x = 323,046.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.