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Finding the Fourth Proportional to 515,197.76, 711,016.70 and 285,828.93

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Solution

The fourth proportional to 515,197.76, 711,016.70 and 285,828.93 is: 394,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,197.76 : 711,016.70 = 285,828.93 : x
  2. Step 2: Convert to fraction form
    515,197.76/711,016.70 = 285,828.93/x
  3. Step 3: Cross multiply
    515,197.76x = 711,016.70 × 285,828.93
  4. Step 4: Simplify right side
    515,197.76x = 203,229,141,143.99
  5. Step 5: Solve for x
    x = 203,229,141,143.99/515,197.76
  6. Step 6: Final answer
    x = 394,468.22

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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.