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Finding the Fourth Proportional to 685,431.64, 945,908.22 and 383,624.92

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Solution

The fourth proportional to 685,431.64, 945,908.22 and 383,624.92 is: 529,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,431.64 : 945,908.22 = 383,624.92 : x
  2. Step 2: Convert to fraction form
    685,431.64/945,908.22 = 383,624.92/x
  3. Step 3: Cross multiply
    685,431.64x = 945,908.22 × 383,624.92
  4. Step 4: Simplify right side
    685,431.64x = 362,873,965,224.84
  5. Step 5: Solve for x
    x = 362,873,965,224.84/685,431.64
  6. Step 6: Final answer
    x = 529,409.42

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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.