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Finding the Fourth Proportional to 648,534.50, 972,275.97 and 269,738.81

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Solution

The fourth proportional to 648,534.50, 972,275.97 and 269,738.81 is: 404,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,534.50 : 972,275.97 = 269,738.81 : x
  2. Step 2: Convert to fraction form
    648,534.50/972,275.97 = 269,738.81/x
  3. Step 3: Cross multiply
    648,534.50x = 972,275.97 × 269,738.81
  4. Step 4: Simplify right side
    648,534.50x = 262,260,558,278.02
  5. Step 5: Solve for x
    x = 262,260,558,278.02/648,534.50
  6. Step 6: Final answer
    x = 404,389.53

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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.