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Finding the Fourth Proportional to 584,047.78, 806,158.31 and 342,382.66

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Solution

The fourth proportional to 584,047.78, 806,158.31 and 342,382.66 is: 472,589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,047.78 : 806,158.31 = 342,382.66 : x
  2. Step 2: Convert to fraction form
    584,047.78/806,158.31 = 342,382.66/x
  3. Step 3: Cross multiply
    584,047.78x = 806,158.31 × 342,382.66
  4. Step 4: Simplify right side
    584,047.78x = 276,014,620,816.20
  5. Step 5: Solve for x
    x = 276,014,620,816.20/584,047.78
  6. Step 6: Final answer
    x = 472,589.11

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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.