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Finding the Fourth Proportional to 519,086.70, 777,791.70 and 293,777.10

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Solution

The fourth proportional to 519,086.70, 777,791.70 and 293,777.10 is: 440,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,086.70 : 777,791.70 = 293,777.10 : x
  2. Step 2: Convert to fraction form
    519,086.70/777,791.70 = 293,777.10/x
  3. Step 3: Cross multiply
    519,086.70x = 777,791.70 × 293,777.10
  4. Step 4: Simplify right side
    519,086.70x = 228,497,390,030.07
  5. Step 5: Solve for x
    x = 228,497,390,030.07/519,086.70
  6. Step 6: Final answer
    x = 440,191.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.