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Finding the Fourth Proportional to 469,720.42, 704,626.74 and 132,763.66

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Solution

The fourth proportional to 469,720.42, 704,626.74 and 132,763.66 is: 199,158.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,720.42 : 704,626.74 = 132,763.66 : x
  2. Step 2: Convert to fraction form
    469,720.42/704,626.74 = 132,763.66/x
  3. Step 3: Cross multiply
    469,720.42x = 704,626.74 × 132,763.66
  4. Step 4: Simplify right side
    469,720.42x = 93,548,824,936.27
  5. Step 5: Solve for x
    x = 93,548,824,936.27/469,720.42
  6. Step 6: Final answer
    x = 199,158.52

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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.