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Finding the Fourth Proportional to 456,604.32, 685,068.84 and 203,862

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Solution

The fourth proportional to 456,604.32, 685,068.84 and 203,862 is: 305,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,604.32 : 685,068.84 = 203,862 : x
  2. Step 2: Convert to fraction form
    456,604.32/685,068.84 = 203,862/x
  3. Step 3: Cross multiply
    456,604.32x = 685,068.84 × 203,862
  4. Step 4: Simplify right side
    456,604.32x = 139,659,503,860.08
  5. Step 5: Solve for x
    x = 139,659,503,860.08/456,604.32
  6. Step 6: Final answer
    x = 305,865.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.