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Finding the Fourth Proportional to 456,759.63, 685,123.04 and 119,797.61

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Solution

The fourth proportional to 456,759.63, 685,123.04 and 119,797.61 is: 179,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,759.63 : 685,123.04 = 119,797.61 : x
  2. Step 2: Convert to fraction form
    456,759.63/685,123.04 = 119,797.61/x
  3. Step 3: Cross multiply
    456,759.63x = 685,123.04 × 119,797.61
  4. Step 4: Simplify right side
    456,759.63x = 82,076,099,621.81
  5. Step 5: Solve for x
    x = 82,076,099,621.81/456,759.63
  6. Step 6: Final answer
    x = 179,692.11

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Why These Related Problems?

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