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Finding the Fourth Proportional to 584,083.32, 806,207.31 and 342,418.20

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Solution

The fourth proportional to 584,083.32, 806,207.31 and 342,418.20 is: 472,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,083.32 : 806,207.31 = 342,418.20 : x
  2. Step 2: Convert to fraction form
    584,083.32/806,207.31 = 342,418.20/x
  3. Step 3: Cross multiply
    584,083.32x = 806,207.31 × 342,418.20
  4. Step 4: Simplify right side
    584,083.32x = 276,060,055,917.04
  5. Step 5: Solve for x
    x = 276,060,055,917.04/584,083.32
  6. Step 6: Final answer
    x = 472,638.14

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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.