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Finding the Fourth Proportional to 588,867.12, 883,315.20 and 214,890

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Solution

The fourth proportional to 588,867.12, 883,315.20 and 214,890 is: 322,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,867.12 : 883,315.20 = 214,890 : x
  2. Step 2: Convert to fraction form
    588,867.12/883,315.20 = 214,890/x
  3. Step 3: Cross multiply
    588,867.12x = 883,315.20 × 214,890
  4. Step 4: Simplify right side
    588,867.12x = 189,815,603,328
  5. Step 5: Solve for x
    x = 189,815,603,328/588,867.12
  6. Step 6: Final answer
    x = 322,340.30

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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.