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Finding the Fourth Proportional to 298,285.39, 411,633.90 and 164,149.39

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Solution

The fourth proportional to 298,285.39, 411,633.90 and 164,149.39 is: 226,526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,285.39 : 411,633.90 = 164,149.39 : x
  2. Step 2: Convert to fraction form
    298,285.39/411,633.90 = 164,149.39/x
  3. Step 3: Cross multiply
    298,285.39x = 411,633.90 × 164,149.39
  4. Step 4: Simplify right side
    298,285.39x = 67,569,453,588.32
  5. Step 5: Solve for x
    x = 67,569,453,588.32/298,285.39
  6. Step 6: Final answer
    x = 226,526.19

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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.