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Finding the Fourth Proportional to 465,450.84, 698,169.78 and 149,909.40

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Solution

The fourth proportional to 465,450.84, 698,169.78 and 149,909.40 is: 224,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,450.84 : 698,169.78 = 149,909.40 : x
  2. Step 2: Convert to fraction form
    465,450.84/698,169.78 = 149,909.40/x
  3. Step 3: Cross multiply
    465,450.84x = 698,169.78 × 149,909.40
  4. Step 4: Simplify right side
    465,450.84x = 104,662,212,817.93
  5. Step 5: Solve for x
    x = 104,662,212,817.93/465,450.84
  6. Step 6: Final answer
    x = 224,862.01

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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.