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Finding the Fourth Proportional to 465,636.40, 698,454.60 and 133,212.40

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Solution

The fourth proportional to 465,636.40, 698,454.60 and 133,212.40 is: 199,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,636.40 : 698,454.60 = 133,212.40 : x
  2. Step 2: Convert to fraction form
    465,636.40/698,454.60 = 133,212.40/x
  3. Step 3: Cross multiply
    465,636.40x = 698,454.60 × 133,212.40
  4. Step 4: Simplify right side
    465,636.40x = 93,042,813,557.04
  5. Step 5: Solve for x
    x = 93,042,813,557.04/465,636.40
  6. Step 6: Final answer
    x = 199,818.60

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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.