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Finding the Fourth Proportional to 505,889.10, 698,272.38 and 333,932.58

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Solution

The fourth proportional to 505,889.10, 698,272.38 and 333,932.58 is: 460,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,889.10 : 698,272.38 = 333,932.58 : x
  2. Step 2: Convert to fraction form
    505,889.10/698,272.38 = 333,932.58/x
  3. Step 3: Cross multiply
    505,889.10x = 698,272.38 × 333,932.58
  4. Step 4: Simplify right side
    505,889.10x = 233,175,897,396.14
  5. Step 5: Solve for x
    x = 233,175,897,396.14/505,889.10
  6. Step 6: Final answer
    x = 460,922.95

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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.