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Finding the Fourth Proportional to 339,517.44, 506,784 and 314,496

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Solution

The fourth proportional to 339,517.44, 506,784 and 314,496 is: 469,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,517.44 : 506,784 = 314,496 : x
  2. Step 2: Convert to fraction form
    339,517.44/506,784 = 314,496/x
  3. Step 3: Cross multiply
    339,517.44x = 506,784 × 314,496
  4. Step 4: Simplify right side
    339,517.44x = 159,381,540,864
  5. Step 5: Solve for x
    x = 159,381,540,864/339,517.44
  6. Step 6: Final answer
    x = 469,435.50

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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.