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Finding the Fourth Proportional to 465,326.40, 697,771.56 and 195,396.86

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Solution

The fourth proportional to 465,326.40, 697,771.56 and 195,396.86 is: 293,003.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,326.40 : 697,771.56 = 195,396.86 : x
  2. Step 2: Convert to fraction form
    465,326.40/697,771.56 = 195,396.86/x
  3. Step 3: Cross multiply
    465,326.40x = 697,771.56 × 195,396.86
  4. Step 4: Simplify right side
    465,326.40x = 136,342,371,821.30
  5. Step 5: Solve for x
    x = 136,342,371,821.30/465,326.40
  6. Step 6: Final answer
    x = 293,003.73

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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.