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Finding the Fourth Proportional to 583,894.94, 806,046.27 and 342,143.96

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Solution

The fourth proportional to 583,894.94, 806,046.27 and 342,143.96 is: 472,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,894.94 : 806,046.27 = 342,143.96 : x
  2. Step 2: Convert to fraction form
    583,894.94/806,046.27 = 342,143.96/x
  3. Step 3: Cross multiply
    583,894.94x = 806,046.27 × 342,143.96
  4. Step 4: Simplify right side
    583,894.94x = 275,783,862,761.03
  5. Step 5: Solve for x
    x = 275,783,862,761.03/583,894.94
  6. Step 6: Final answer
    x = 472,317.61

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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.