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Finding the Fourth Proportional to 1,409,777.50, 1,945,494.90 and 765,197.82

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Solution

The fourth proportional to 1,409,777.50, 1,945,494.90 and 765,197.82 is: 1,055,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,777.50 : 1,945,494.90 = 765,197.82 : x
  2. Step 2: Convert to fraction form
    1,409,777.50/1,945,494.90 = 765,197.82/x
  3. Step 3: Cross multiply
    1,409,777.50x = 1,945,494.90 × 765,197.82
  4. Step 4: Simplify right side
    1,409,777.50x = 1,488,688,456,301.12
  5. Step 5: Solve for x
    x = 1,488,688,456,301.12/1,409,777.50
  6. Step 6: Final answer
    x = 1,055,974.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.