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Finding the Fourth Proportional to 464,589, 696,412.89 and 314,844.48

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Solution

The fourth proportional to 464,589, 696,412.89 and 314,844.48 is: 471,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,589 : 696,412.89 = 314,844.48 : x
  2. Step 2: Convert to fraction form
    464,589/696,412.89 = 314,844.48/x
  3. Step 3: Cross multiply
    464,589x = 696,412.89 × 314,844.48
  4. Step 4: Simplify right side
    464,589x = 219,261,754,217.35
  5. Step 5: Solve for x
    x = 219,261,754,217.35/464,589
  6. Step 6: Final answer
    x = 471,947.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.