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Finding the Fourth Proportional to 435,473.13, 653,041.74 and 169,198.59

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Solution

The fourth proportional to 435,473.13, 653,041.74 and 169,198.59 is: 253,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,473.13 : 653,041.74 = 169,198.59 : x
  2. Step 2: Convert to fraction form
    435,473.13/653,041.74 = 169,198.59/x
  3. Step 3: Cross multiply
    435,473.13x = 653,041.74 × 169,198.59
  4. Step 4: Simplify right side
    435,473.13x = 110,493,741,619.15
  5. Step 5: Solve for x
    x = 110,493,741,619.15/435,473.13
  6. Step 6: Final answer
    x = 253,732.63

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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.