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Finding the Fourth Proportional to 709,323.75, 978,732.86 and 422,870.49

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Solution

The fourth proportional to 709,323.75, 978,732.86 and 422,870.49 is: 583,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,323.75 : 978,732.86 = 422,870.49 : x
  2. Step 2: Convert to fraction form
    709,323.75/978,732.86 = 422,870.49/x
  3. Step 3: Cross multiply
    709,323.75x = 978,732.86 × 422,870.49
  4. Step 4: Simplify right side
    709,323.75x = 413,877,241,972.95
  5. Step 5: Solve for x
    x = 413,877,241,972.95/709,323.75
  6. Step 6: Final answer
    x = 583,481.44

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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.