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Finding the Fourth Proportional to 494,865.40, 694,677.80 and 494,865.40

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Solution

The fourth proportional to 494,865.40, 694,677.80 and 494,865.40 is: 694,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,865.40 : 694,677.80 = 494,865.40 : x
  2. Step 2: Convert to fraction form
    494,865.40/694,677.80 = 494,865.40/x
  3. Step 3: Cross multiply
    494,865.40x = 694,677.80 × 494,865.40
  4. Step 4: Simplify right side
    494,865.40x = 343,772,007,368.12
  5. Step 5: Solve for x
    x = 343,772,007,368.12/494,865.40
  6. Step 6: Final answer
    x = 694,677.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.