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Finding the Fourth Proportional to 298,595.75, 412,062.14 and 164,459.75

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Solution

The fourth proportional to 298,595.75, 412,062.14 and 164,459.75 is: 226,954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,595.75 : 412,062.14 = 164,459.75 : x
  2. Step 2: Convert to fraction form
    298,595.75/412,062.14 = 164,459.75/x
  3. Step 3: Cross multiply
    298,595.75x = 412,062.14 × 164,459.75
  4. Step 4: Simplify right side
    298,595.75x = 67,767,635,706.57
  5. Step 5: Solve for x
    x = 67,767,635,706.57/298,595.75
  6. Step 6: Final answer
    x = 226,954.46

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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.