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Finding the Fourth Proportional to 435,504, 653,297.22 and 169,285.08

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Solution

The fourth proportional to 435,504, 653,297.22 and 169,285.08 is: 253,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,504 : 653,297.22 = 169,285.08 : x
  2. Step 2: Convert to fraction form
    435,504/653,297.22 = 169,285.08/x
  3. Step 3: Cross multiply
    435,504x = 653,297.22 × 169,285.08
  4. Step 4: Simplify right side
    435,504x = 110,593,472,151.48
  5. Step 5: Solve for x
    x = 110,593,472,151.48/435,504
  6. Step 6: Final answer
    x = 253,943.64

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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.