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Finding the Fourth Proportional to 1,407,760.74, 1,942,725.12 and 827,008.32

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Solution

The fourth proportional to 1,407,760.74, 1,942,725.12 and 827,008.32 is: 1,141,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,760.74 : 1,942,725.12 = 827,008.32 : x
  2. Step 2: Convert to fraction form
    1,407,760.74/1,942,725.12 = 827,008.32/x
  3. Step 3: Cross multiply
    1,407,760.74x = 1,942,725.12 × 827,008.32
  4. Step 4: Simplify right side
    1,407,760.74x = 1,606,649,837,713.00
  5. Step 5: Solve for x
    x = 1,606,649,837,713.00/1,407,760.74
  6. Step 6: Final answer
    x = 1,141,280.47

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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.