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Finding the Fourth Proportional to 341,622, 512,743.96 and 181,832.08

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Solution

The fourth proportional to 341,622, 512,743.96 and 181,832.08 is: 272,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,622 : 512,743.96 = 181,832.08 : x
  2. Step 2: Convert to fraction form
    341,622/512,743.96 = 181,832.08/x
  3. Step 3: Cross multiply
    341,622x = 512,743.96 × 181,832.08
  4. Step 4: Simplify right side
    341,622x = 93,233,300,754.24
  5. Step 5: Solve for x
    x = 93,233,300,754.24/341,622
  6. Step 6: Final answer
    x = 272,913.63

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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.