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Finding the Fourth Proportional to 467,084.88, 698,067.99 and 340,990.66

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Solution

The fourth proportional to 467,084.88, 698,067.99 and 340,990.66 is: 509,617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,084.88 : 698,067.99 = 340,990.66 : x
  2. Step 2: Convert to fraction form
    467,084.88/698,067.99 = 340,990.66/x
  3. Step 3: Cross multiply
    467,084.88x = 698,067.99 × 340,990.66
  4. Step 4: Simplify right side
    467,084.88x = 238,034,665,507.56
  5. Step 5: Solve for x
    x = 238,034,665,507.56/467,084.88
  6. Step 6: Final answer
    x = 509,617.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.