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Finding the Fourth Proportional to 588,626.80, 883,071.76 and 214,649.76

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Solution

The fourth proportional to 588,626.80, 883,071.76 and 214,649.76 is: 322,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,626.80 : 883,071.76 = 214,649.76 : x
  2. Step 2: Convert to fraction form
    588,626.80/883,071.76 = 214,649.76/x
  3. Step 3: Cross multiply
    588,626.80x = 883,071.76 × 214,649.76
  4. Step 4: Simplify right side
    588,626.80x = 189,551,141,346.78
  5. Step 5: Solve for x
    x = 189,551,141,346.78/588,626.80
  6. Step 6: Final answer
    x = 322,022.61

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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.