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Finding the Fourth Proportional to 588,869.12, 883,318.20 and 214,892

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Solution

The fourth proportional to 588,869.12, 883,318.20 and 214,892 is: 322,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,869.12 : 883,318.20 = 214,892 : x
  2. Step 2: Convert to fraction form
    588,869.12/883,318.20 = 214,892/x
  3. Step 3: Cross multiply
    588,869.12x = 883,318.20 × 214,892
  4. Step 4: Simplify right side
    588,869.12x = 189,818,014,634.40
  5. Step 5: Solve for x
    x = 189,818,014,634.40/588,869.12
  6. Step 6: Final answer
    x = 322,343.30

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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.