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Finding the Fourth Proportional to 465,696.50, 698,551.23 and 133,272.50

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Solution

The fourth proportional to 465,696.50, 698,551.23 and 133,272.50 is: 199,910.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,696.50 : 698,551.23 = 133,272.50 : x
  2. Step 2: Convert to fraction form
    465,696.50/698,551.23 = 133,272.50/x
  3. Step 3: Cross multiply
    465,696.50x = 698,551.23 × 133,272.50
  4. Step 4: Simplify right side
    465,696.50x = 93,097,668,800.18
  5. Step 5: Solve for x
    x = 93,097,668,800.18/465,696.50
  6. Step 6: Final answer
    x = 199,910.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.