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Finding the Fourth Proportional to 451,774.10, 677,868.06 and 195,684.98

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Solution

The fourth proportional to 451,774.10, 677,868.06 and 195,684.98 is: 293,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,774.10 : 677,868.06 = 195,684.98 : x
  2. Step 2: Convert to fraction form
    451,774.10/677,868.06 = 195,684.98/x
  3. Step 3: Cross multiply
    451,774.10x = 677,868.06 × 195,684.98
  4. Step 4: Simplify right side
    451,774.10x = 132,648,597,763.74
  5. Step 5: Solve for x
    x = 132,648,597,763.74/451,774.10
  6. Step 6: Final answer
    x = 293,617.09

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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.