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Finding the Fourth Proportional to 588,686, 883,160.63 and 214,709

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Solution

The fourth proportional to 588,686, 883,160.63 and 214,709 is: 322,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,686 : 883,160.63 = 214,709 : x
  2. Step 2: Convert to fraction form
    588,686/883,160.63 = 214,709/x
  3. Step 3: Cross multiply
    588,686x = 883,160.63 × 214,709
  4. Step 4: Simplify right side
    588,686x = 189,622,534,633.13
  5. Step 5: Solve for x
    x = 189,622,534,633.13/588,686
  6. Step 6: Final answer
    x = 322,111.51

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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.