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Finding the Fourth Proportional to 727,935, 1,004,432.10 and 421,951.68

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Solution

The fourth proportional to 727,935, 1,004,432.10 and 421,951.68 is: 582,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,935 : 1,004,432.10 = 421,951.68 : x
  2. Step 2: Convert to fraction form
    727,935/1,004,432.10 = 421,951.68/x
  3. Step 3: Cross multiply
    727,935x = 1,004,432.10 × 421,951.68
  4. Step 4: Simplify right side
    727,935x = 423,821,812,040.93
  5. Step 5: Solve for x
    x = 423,821,812,040.93/727,935
  6. Step 6: Final answer
    x = 582,224.80

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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.