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Finding the Fourth Proportional to 645,588.50, 968,538.27 and 202,356.50

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Solution

The fourth proportional to 645,588.50, 968,538.27 and 202,356.50 is: 303,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,588.50 : 968,538.27 = 202,356.50 : x
  2. Step 2: Convert to fraction form
    645,588.50/968,538.27 = 202,356.50/x
  3. Step 3: Cross multiply
    645,588.50x = 968,538.27 × 202,356.50
  4. Step 4: Simplify right side
    645,588.50x = 195,990,014,433.26
  5. Step 5: Solve for x
    x = 195,990,014,433.26/645,588.50
  6. Step 6: Final answer
    x = 303,583.50

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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.