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Finding the Fourth Proportional to 705,981.64, 974,396.36 and 419,446.56

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Solution

The fourth proportional to 705,981.64, 974,396.36 and 419,446.56 is: 578,920.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,981.64 : 974,396.36 = 419,446.56 : x
  2. Step 2: Convert to fraction form
    705,981.64/974,396.36 = 419,446.56/x
  3. Step 3: Cross multiply
    705,981.64x = 974,396.36 × 419,446.56
  4. Step 4: Simplify right side
    705,981.64x = 408,707,201,278.52
  5. Step 5: Solve for x
    x = 408,707,201,278.52/705,981.64
  6. Step 6: Final answer
    x = 578,920.44

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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.