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Finding the Fourth Proportional to 298,598.63, 412,066.11 and 164,462.63

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Solution

The fourth proportional to 298,598.63, 412,066.11 and 164,462.63 is: 226,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,598.63 : 412,066.11 = 164,462.63 : x
  2. Step 2: Convert to fraction form
    298,598.63/412,066.11 = 164,462.63/x
  3. Step 3: Cross multiply
    298,598.63x = 412,066.11 × 164,462.63
  4. Step 4: Simplify right side
    298,598.63x = 67,769,474,124.14
  5. Step 5: Solve for x
    x = 67,769,474,124.14/298,598.63
  6. Step 6: Final answer
    x = 226,958.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.