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Finding the Fourth Proportional to 588,611.76, 883,049.26 and 214,634.76

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Solution

The fourth proportional to 588,611.76, 883,049.26 and 214,634.76 is: 322,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,611.76 : 883,049.26 = 214,634.76 : x
  2. Step 2: Convert to fraction form
    588,611.76/883,049.26 = 214,634.76/x
  3. Step 3: Cross multiply
    588,611.76x = 883,049.26 × 214,634.76
  4. Step 4: Simplify right side
    588,611.76x = 189,533,065,988.28
  5. Step 5: Solve for x
    x = 189,533,065,988.28/588,611.76
  6. Step 6: Final answer
    x = 322,000.13

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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.