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Finding the Fourth Proportional to 588,761.80, 883,373.10 and 214,822.60

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Solution

The fourth proportional to 588,761.80, 883,373.10 and 214,822.60 is: 322,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,761.80 : 883,373.10 = 214,822.60 : x
  2. Step 2: Convert to fraction form
    588,761.80/883,373.10 = 214,822.60/x
  3. Step 3: Cross multiply
    588,761.80x = 883,373.10 × 214,822.60
  4. Step 4: Simplify right side
    588,761.80x = 189,768,506,112.06
  5. Step 5: Solve for x
    x = 189,768,506,112.06/588,761.80
  6. Step 6: Final answer
    x = 322,317.97

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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.