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Finding the Fourth Proportional to 461,458.44, 692,496.54 and 161,940.42

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Solution

The fourth proportional to 461,458.44, 692,496.54 and 161,940.42 is: 243,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,458.44 : 692,496.54 = 161,940.42 : x
  2. Step 2: Convert to fraction form
    461,458.44/692,496.54 = 161,940.42/x
  3. Step 3: Cross multiply
    461,458.44x = 692,496.54 × 161,940.42
  4. Step 4: Simplify right side
    461,458.44x = 112,143,180,536.15
  5. Step 5: Solve for x
    x = 112,143,180,536.15/461,458.44
  6. Step 6: Final answer
    x = 243,019.03

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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.