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Finding the Fourth Proportional to 515,954.24, 711,977.79 and 289,556

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Solution

The fourth proportional to 515,954.24, 711,977.79 and 289,556 is: 399,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,954.24 : 711,977.79 = 289,556 : x
  2. Step 2: Convert to fraction form
    515,954.24/711,977.79 = 289,556/x
  3. Step 3: Cross multiply
    515,954.24x = 711,977.79 × 289,556
  4. Step 4: Simplify right side
    515,954.24x = 206,157,440,961.24
  5. Step 5: Solve for x
    x = 206,157,440,961.24/515,954.24
  6. Step 6: Final answer
    x = 399,565.36

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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.