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Finding the Fourth Proportional to 772,983.92, 1,066,719.04 and 428,819.84

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Solution

The fourth proportional to 772,983.92, 1,066,719.04 and 428,819.84 is: 591,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,983.92 : 1,066,719.04 = 428,819.84 : x
  2. Step 2: Convert to fraction form
    772,983.92/1,066,719.04 = 428,819.84/x
  3. Step 3: Cross multiply
    772,983.92x = 1,066,719.04 × 428,819.84
  4. Step 4: Simplify right side
    772,983.92x = 457,430,283,260.18
  5. Step 5: Solve for x
    x = 457,430,283,260.18/772,983.92
  6. Step 6: Final answer
    x = 591,772.06

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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.