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Finding the Fourth Proportional to 298,595.63, 412,061.97 and 164,459.63

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Solution

The fourth proportional to 298,595.63, 412,061.97 and 164,459.63 is: 226,954.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,595.63 : 412,061.97 = 164,459.63 : x
  2. Step 2: Convert to fraction form
    298,595.63/412,061.97 = 164,459.63/x
  3. Step 3: Cross multiply
    298,595.63x = 412,061.97 × 164,459.63
  4. Step 4: Simplify right side
    298,595.63x = 67,767,557,062.96
  5. Step 5: Solve for x
    x = 67,767,557,062.96/298,595.63
  6. Step 6: Final answer
    x = 226,954.29

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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.