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Finding the Fourth Proportional to 456,816.30, 685,224.45 and 220,182.90

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Solution

The fourth proportional to 456,816.30, 685,224.45 and 220,182.90 is: 330,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,816.30 : 685,224.45 = 220,182.90 : x
  2. Step 2: Convert to fraction form
    456,816.30/685,224.45 = 220,182.90/x
  3. Step 3: Cross multiply
    456,816.30x = 685,224.45 × 220,182.90
  4. Step 4: Simplify right side
    456,816.30x = 150,874,706,551.91
  5. Step 5: Solve for x
    x = 150,874,706,551.91/456,816.30
  6. Step 6: Final answer
    x = 330,274.35

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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.