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Finding the Fourth Proportional to 515,353.64, 711,192.31 and 285,925.97

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Solution

The fourth proportional to 515,353.64, 711,192.31 and 285,925.97 is: 394,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,353.64 : 711,192.31 = 285,925.97 : x
  2. Step 2: Convert to fraction form
    515,353.64/711,192.31 = 285,925.97/x
  3. Step 3: Cross multiply
    515,353.64x = 711,192.31 × 285,925.97
  4. Step 4: Simplify right side
    515,353.64x = 203,348,351,093.29
  5. Step 5: Solve for x
    x = 203,348,351,093.29/515,353.64
  6. Step 6: Final answer
    x = 394,580.22

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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.