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Finding the Fourth Proportional to 583,665.80, 805,321.62 and 354,218

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Solution

The fourth proportional to 583,665.80, 805,321.62 and 354,218 is: 488,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,665.80 : 805,321.62 = 354,218 : x
  2. Step 2: Convert to fraction form
    583,665.80/805,321.62 = 354,218/x
  3. Step 3: Cross multiply
    583,665.80x = 805,321.62 × 354,218
  4. Step 4: Simplify right side
    583,665.80x = 285,259,413,593.16
  5. Step 5: Solve for x
    x = 285,259,413,593.16/583,665.80
  6. Step 6: Final answer
    x = 488,737.59

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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.