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Finding the Fourth Proportional to 515,712, 711,694.82 and 289,374.24

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Solution

The fourth proportional to 515,712, 711,694.82 and 289,374.24 is: 399,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,712 : 711,694.82 = 289,374.24 : x
  2. Step 2: Convert to fraction form
    515,712/711,694.82 = 289,374.24/x
  3. Step 3: Cross multiply
    515,712x = 711,694.82 × 289,374.24
  4. Step 4: Simplify right side
    515,712x = 205,946,147,649.44
  5. Step 5: Solve for x
    x = 205,946,147,649.44/515,712
  6. Step 6: Final answer
    x = 399,343.33

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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.