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Finding the Fourth Proportional to 588,705.63, 883,190.13 and 214,728.63

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Solution

The fourth proportional to 588,705.63, 883,190.13 and 214,728.63 is: 322,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,705.63 : 883,190.13 = 214,728.63 : x
  2. Step 2: Convert to fraction form
    588,705.63/883,190.13 = 214,728.63/x
  3. Step 3: Cross multiply
    588,705.63x = 883,190.13 × 214,728.63
  4. Step 4: Simplify right side
    588,705.63x = 189,646,206,644.42
  5. Step 5: Solve for x
    x = 189,646,206,644.42/588,705.63
  6. Step 6: Final answer
    x = 322,140.98

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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.