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Finding the Fourth Proportional to 298,437.02, 411,843.03 and 164,301.02

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Solution

The fourth proportional to 298,437.02, 411,843.03 and 164,301.02 is: 226,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,437.02 : 411,843.03 = 164,301.02 : x
  2. Step 2: Convert to fraction form
    298,437.02/411,843.03 = 164,301.02/x
  3. Step 3: Cross multiply
    298,437.02x = 411,843.03 × 164,301.02
  4. Step 4: Simplify right side
    298,437.02x = 67,666,229,908.89
  5. Step 5: Solve for x
    x = 67,666,229,908.89/298,437.02
  6. Step 6: Final answer
    x = 226,735.38

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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.