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Finding the Fourth Proportional to 588,648.25, 883,104 and 214,671.25

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Solution

The fourth proportional to 588,648.25, 883,104 and 214,671.25 is: 322,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,648.25 : 883,104 = 214,671.25 : x
  2. Step 2: Convert to fraction form
    588,648.25/883,104 = 214,671.25/x
  3. Step 3: Cross multiply
    588,648.25x = 883,104 × 214,671.25
  4. Step 4: Simplify right side
    588,648.25x = 189,577,039,560
  5. Step 5: Solve for x
    x = 189,577,039,560/588,648.25
  6. Step 6: Final answer
    x = 322,054.88

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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.