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Finding the Fourth Proportional to 705,327.85, 1,057,854 and 225,426.92

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Solution

The fourth proportional to 705,327.85, 1,057,854 and 225,426.92 is: 338,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,327.85 : 1,057,854 = 225,426.92 : x
  2. Step 2: Convert to fraction form
    705,327.85/1,057,854 = 225,426.92/x
  3. Step 3: Cross multiply
    705,327.85x = 1,057,854 × 225,426.92
  4. Step 4: Simplify right side
    705,327.85x = 238,468,769,029.68
  5. Step 5: Solve for x
    x = 238,468,769,029.68/705,327.85
  6. Step 6: Final answer
    x = 338,096.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.