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Finding the Fourth Proportional to 1,412,544.42, 1,949,301.62 and 767,964.60

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Solution

The fourth proportional to 1,412,544.42, 1,949,301.62 and 767,964.60 is: 1,059,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,544.42 : 1,949,301.62 = 767,964.60 : x
  2. Step 2: Convert to fraction form
    1,412,544.42/1,949,301.62 = 767,964.60/x
  3. Step 3: Cross multiply
    1,412,544.42x = 1,949,301.62 × 767,964.60
  4. Step 4: Simplify right side
    1,412,544.42x = 1,496,994,638,882.65
  5. Step 5: Solve for x
    x = 1,496,994,638,882.65/1,412,544.42
  6. Step 6: Final answer
    x = 1,059,785.89

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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.