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Finding the Fourth Proportional to 465,800.27, 698,848.09 and 166,274.42

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Solution

The fourth proportional to 465,800.27, 698,848.09 and 166,274.42 is: 249,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,800.27 : 698,848.09 = 166,274.42 : x
  2. Step 2: Convert to fraction form
    465,800.27/698,848.09 = 166,274.42/x
  3. Step 3: Cross multiply
    465,800.27x = 698,848.09 × 166,274.42
  4. Step 4: Simplify right side
    465,800.27x = 116,200,556,922.93
  5. Step 5: Solve for x
    x = 116,200,556,922.93/465,800.27
  6. Step 6: Final answer
    x = 249,464.34

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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.