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Finding the Fourth Proportional to 298,403.02, 411,814.83 and 164,267.02

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Solution

The fourth proportional to 298,403.02, 411,814.83 and 164,267.02 is: 226,698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,403.02 : 411,814.83 = 164,267.02 : x
  2. Step 2: Convert to fraction form
    298,403.02/411,814.83 = 164,267.02/x
  3. Step 3: Cross multiply
    298,403.02x = 411,814.83 × 164,267.02
  4. Step 4: Simplify right side
    298,403.02x = 67,647,594,915.91
  5. Step 5: Solve for x
    x = 67,647,594,915.91/298,403.02
  6. Step 6: Final answer
    x = 226,698.76

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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.