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Finding the Fourth Proportional to 698,323.14, 963,686.97 and 396,517.14

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Solution

The fourth proportional to 698,323.14, 963,686.97 and 396,517.14 is: 547,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,323.14 : 963,686.97 = 396,517.14 : x
  2. Step 2: Convert to fraction form
    698,323.14/963,686.97 = 396,517.14/x
  3. Step 3: Cross multiply
    698,323.14x = 963,686.97 × 396,517.14
  4. Step 4: Simplify right side
    698,323.14x = 382,118,401,199.67
  5. Step 5: Solve for x
    x = 382,118,401,199.67/698,323.14
  6. Step 6: Final answer
    x = 547,194.24

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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.