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Finding the Fourth Proportional to 698,063.06, 963,327.94 and 396,257.06

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Solution

The fourth proportional to 698,063.06, 963,327.94 and 396,257.06 is: 546,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,063.06 : 963,327.94 = 396,257.06 : x
  2. Step 2: Convert to fraction form
    698,063.06/963,327.94 = 396,257.06/x
  3. Step 3: Cross multiply
    698,063.06x = 963,327.94 × 396,257.06
  4. Step 4: Simplify right side
    698,063.06x = 381,725,498,737.93
  5. Step 5: Solve for x
    x = 381,725,498,737.93/698,063.06
  6. Step 6: Final answer
    x = 546,835.26

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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.