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Finding the Fourth Proportional to 465,438.36, 698,266.89 and 149,883.42

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Solution

The fourth proportional to 465,438.36, 698,266.89 and 149,883.42 is: 224,860.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,438.36 : 698,266.89 = 149,883.42 : x
  2. Step 2: Convert to fraction form
    465,438.36/698,266.89 = 149,883.42/x
  3. Step 3: Cross multiply
    465,438.36x = 698,266.89 × 149,883.42
  4. Step 4: Simplify right side
    465,438.36x = 104,658,629,545.96
  5. Step 5: Solve for x
    x = 104,658,629,545.96/465,438.36
  6. Step 6: Final answer
    x = 224,860.34

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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.