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Finding the Fourth Proportional to 298,586.98, 412,031.13 and 164,450.98

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Solution

The fourth proportional to 298,586.98, 412,031.13 and 164,450.98 is: 226,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,586.98 : 412,031.13 = 164,450.98 : x
  2. Step 2: Convert to fraction form
    298,586.98/412,031.13 = 164,450.98/x
  3. Step 3: Cross multiply
    298,586.98x = 412,031.13 × 164,450.98
  4. Step 4: Simplify right side
    298,586.98x = 67,758,923,119.01
  5. Step 5: Solve for x
    x = 67,758,923,119.01/298,586.98
  6. Step 6: Final answer
    x = 226,931.94

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1.5x scale

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.