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Finding the Fourth Proportional to 727,938, 1,004,436.24 and 421,954.68

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Solution

The fourth proportional to 727,938, 1,004,436.24 and 421,954.68 is: 582,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,938 : 1,004,436.24 = 421,954.68 : x
  2. Step 2: Convert to fraction form
    727,938/1,004,436.24 = 421,954.68/x
  3. Step 3: Cross multiply
    727,938x = 1,004,436.24 × 421,954.68
  4. Step 4: Simplify right side
    727,938x = 423,826,572,229.60
  5. Step 5: Solve for x
    x = 423,826,572,229.60/727,938
  6. Step 6: Final answer
    x = 582,228.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.