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Finding the Fourth Proportional to 515,383.29, 711,204.94 and 285,938.14

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Solution

The fourth proportional to 515,383.29, 711,204.94 and 285,938.14 is: 394,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,383.29 : 711,204.94 = 285,938.14 : x
  2. Step 2: Convert to fraction form
    515,383.29/711,204.94 = 285,938.14/x
  3. Step 3: Cross multiply
    515,383.29x = 711,204.94 × 285,938.14
  4. Step 4: Simplify right side
    515,383.29x = 203,360,617,702.41
  5. Step 5: Solve for x
    x = 203,360,617,702.41/515,383.29
  6. Step 6: Final answer
    x = 394,581.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.