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Finding the Fourth Proportional to 515,257.48, 711,096.60 and 285,837.40

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Solution

The fourth proportional to 515,257.48, 711,096.60 and 285,837.40 is: 394,478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,257.48 : 711,096.60 = 285,837.40 : x
  2. Step 2: Convert to fraction form
    515,257.48/711,096.60 = 285,837.40/x
  3. Step 3: Cross multiply
    515,257.48x = 711,096.60 × 285,837.40
  4. Step 4: Simplify right side
    515,257.48x = 203,258,003,292.84
  5. Step 5: Solve for x
    x = 203,258,003,292.84/515,257.48
  6. Step 6: Final answer
    x = 394,478.51

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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.