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Finding the Fourth Proportional to 1,409,787.13, 1,945,507.82 and 765,207.15

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Solution

The fourth proportional to 1,409,787.13, 1,945,507.82 and 765,207.15 is: 1,055,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,787.13 : 1,945,507.82 = 765,207.15 : x
  2. Step 2: Convert to fraction form
    1,409,787.13/1,945,507.82 = 765,207.15/x
  3. Step 3: Cross multiply
    1,409,787.13x = 1,945,507.82 × 765,207.15
  4. Step 4: Simplify right side
    1,409,787.13x = 1,488,716,494,066.70
  5. Step 5: Solve for x
    x = 1,488,716,494,066.70/1,409,787.13
  6. Step 6: Final answer
    x = 1,055,986.73

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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.