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Finding the Fourth Proportional to 588,892.12, 883,352.70 and 214,915

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Solution

The fourth proportional to 588,892.12, 883,352.70 and 214,915 is: 322,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,892.12 : 883,352.70 = 214,915 : x
  2. Step 2: Convert to fraction form
    588,892.12/883,352.70 = 214,915/x
  3. Step 3: Cross multiply
    588,892.12x = 883,352.70 × 214,915
  4. Step 4: Simplify right side
    588,892.12x = 189,845,745,520.50
  5. Step 5: Solve for x
    x = 189,845,745,520.50/588,892.12
  6. Step 6: Final answer
    x = 322,377.80

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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.