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Finding the Fourth Proportional to 1,294,864.32, 1,787,257.38 and 764,899.83

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Solution

The fourth proportional to 1,294,864.32, 1,787,257.38 and 764,899.83 is: 1,055,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,864.32 : 1,787,257.38 = 764,899.83 : x
  2. Step 2: Convert to fraction form
    1,294,864.32/1,787,257.38 = 764,899.83/x
  3. Step 3: Cross multiply
    1,294,864.32x = 1,787,257.38 × 764,899.83
  4. Step 4: Simplify right side
    1,294,864.32x = 1,367,072,869,479.35
  5. Step 5: Solve for x
    x = 1,367,072,869,479.35/1,294,864.32
  6. Step 6: Final answer
    x = 1,055,765.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.