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Finding the Fourth Proportional to 298,189.22, 446,958.50 and 146,490.68

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Solution

The fourth proportional to 298,189.22, 446,958.50 and 146,490.68 is: 219,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,189.22 : 446,958.50 = 146,490.68 : x
  2. Step 2: Convert to fraction form
    298,189.22/446,958.50 = 146,490.68/x
  3. Step 3: Cross multiply
    298,189.22x = 446,958.50 × 146,490.68
  4. Step 4: Simplify right side
    298,189.22x = 65,475,254,981.72
  5. Step 5: Solve for x
    x = 65,475,254,981.72/298,189.22
  6. Step 6: Final answer
    x = 219,576.20

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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.