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Finding the Fourth Proportional to 401,245.22, 601,946.56 and 148,527.92

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Solution

The fourth proportional to 401,245.22, 601,946.56 and 148,527.92 is: 222,821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,245.22 : 601,946.56 = 148,527.92 : x
  2. Step 2: Convert to fraction form
    401,245.22/601,946.56 = 148,527.92/x
  3. Step 3: Cross multiply
    401,245.22x = 601,946.56 × 148,527.92
  4. Step 4: Simplify right side
    401,245.22x = 89,405,870,507.96
  5. Step 5: Solve for x
    x = 89,405,870,507.96/401,245.22
  6. Step 6: Final answer
    x = 222,821.02

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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.