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Finding the Fourth Proportional to 698,241.76, 963,574.44 and 396,435.76

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Solution

The fourth proportional to 698,241.76, 963,574.44 and 396,435.76 is: 547,081.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,241.76 : 963,574.44 = 396,435.76 : x
  2. Step 2: Convert to fraction form
    698,241.76/963,574.44 = 396,435.76/x
  3. Step 3: Cross multiply
    698,241.76x = 963,574.44 × 396,435.76
  4. Step 4: Simplify right side
    698,241.76x = 381,995,365,437.97
  5. Step 5: Solve for x
    x = 381,995,365,437.97/698,241.76
  6. Step 6: Final answer
    x = 547,081.81

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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.