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Finding the Fourth Proportional to 515,383.95, 711,205.84 and 285,938.79

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Solution

The fourth proportional to 515,383.95, 711,205.84 and 285,938.79 is: 394,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,383.95 : 711,205.84 = 285,938.79 : x
  2. Step 2: Convert to fraction form
    515,383.95/711,205.84 = 285,938.79/x
  3. Step 3: Cross multiply
    515,383.95x = 711,205.84 × 285,938.79
  4. Step 4: Simplify right side
    515,383.95x = 203,361,337,330.53
  5. Step 5: Solve for x
    x = 203,361,337,330.53/515,383.95
  6. Step 6: Final answer
    x = 394,582.21

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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.