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Finding the Fourth Proportional to 298,258.08, 411,596 and 164,122.08

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Solution

The fourth proportional to 298,258.08, 411,596 and 164,122.08 is: 226,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,258.08 : 411,596 = 164,122.08 : x
  2. Step 2: Convert to fraction form
    298,258.08/411,596 = 164,122.08/x
  3. Step 3: Cross multiply
    298,258.08x = 411,596 × 164,122.08
  4. Step 4: Simplify right side
    298,258.08x = 67,551,991,639.68
  5. Step 5: Solve for x
    x = 67,551,991,639.68/298,258.08
  6. Step 6: Final answer
    x = 226,488.39

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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.