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Finding the Fourth Proportional to 298,623.63, 412,100.63 and 164,487.63

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Solution

The fourth proportional to 298,623.63, 412,100.63 and 164,487.63 is: 226,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,623.63 : 412,100.63 = 164,487.63 : x
  2. Step 2: Convert to fraction form
    298,623.63/412,100.63 = 164,487.63/x
  3. Step 3: Cross multiply
    298,623.63x = 412,100.63 × 164,487.63
  4. Step 4: Simplify right side
    298,623.63x = 67,785,455,950.21
  5. Step 5: Solve for x
    x = 67,785,455,950.21/298,623.63
  6. Step 6: Final answer
    x = 226,992.94

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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.