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Finding the Fourth Proportional to 515,663.25, 711,601.65 and 286,219.92

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Solution

The fourth proportional to 515,663.25, 711,601.65 and 286,219.92 is: 394,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,663.25 : 711,601.65 = 286,219.92 : x
  2. Step 2: Convert to fraction form
    515,663.25/711,601.65 = 286,219.92/x
  3. Step 3: Cross multiply
    515,663.25x = 711,601.65 × 286,219.92
  4. Step 4: Simplify right side
    515,663.25x = 203,674,567,334.87
  5. Step 5: Solve for x
    x = 203,674,567,334.87/515,663.25
  6. Step 6: Final answer
    x = 394,975.92

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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.