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Finding the Fourth Proportional to 668,991.70, 1,003,844.70 and 314,008.78

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Solution

The fourth proportional to 668,991.70, 1,003,844.70 and 314,008.78 is: 471,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,991.70 : 1,003,844.70 = 314,008.78 : x
  2. Step 2: Convert to fraction form
    668,991.70/1,003,844.70 = 314,008.78/x
  3. Step 3: Cross multiply
    668,991.70x = 1,003,844.70 × 314,008.78
  4. Step 4: Simplify right side
    668,991.70x = 315,216,049,556.47
  5. Step 5: Solve for x
    x = 315,216,049,556.47/668,991.70
  6. Step 6: Final answer
    x = 471,180.81

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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.