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Finding the Fourth Proportional to 1,414,499.24, 1,952,052.72 and 769,962.80

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Solution

The fourth proportional to 1,414,499.24, 1,952,052.72 and 769,962.80 is: 1,062,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,499.24 : 1,952,052.72 = 769,962.80 : x
  2. Step 2: Convert to fraction form
    1,414,499.24/1,952,052.72 = 769,962.80/x
  3. Step 3: Cross multiply
    1,414,499.24x = 1,952,052.72 × 769,962.80
  4. Step 4: Simplify right side
    1,414,499.24x = 1,503,007,978,038.82
  5. Step 5: Solve for x
    x = 1,503,007,978,038.82/1,414,499.24
  6. Step 6: Final answer
    x = 1,062,572.49

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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.