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Finding the Fourth Proportional to 1,414,541.58, 1,952,065.44 and 769,959.78

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Solution

The fourth proportional to 1,414,541.58, 1,952,065.44 and 769,959.78 is: 1,062,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,541.58 : 1,952,065.44 = 769,959.78 : x
  2. Step 2: Convert to fraction form
    1,414,541.58/1,952,065.44 = 769,959.78/x
  3. Step 3: Cross multiply
    1,414,541.58x = 1,952,065.44 × 769,959.78
  4. Step 4: Simplify right side
    1,414,541.58x = 1,503,011,876,728.00
  5. Step 5: Solve for x
    x = 1,503,011,876,728.00/1,414,541.58
  6. Step 6: Final answer
    x = 1,062,543.44

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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.