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Finding the Fourth Proportional to 298,658.46, 412,148.70 and 164,522.46

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Solution

The fourth proportional to 298,658.46, 412,148.70 and 164,522.46 is: 227,041.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,658.46 : 412,148.70 = 164,522.46 : x
  2. Step 2: Convert to fraction form
    298,658.46/412,148.70 = 164,522.46/x
  3. Step 3: Cross multiply
    298,658.46x = 412,148.70 × 164,522.46
  4. Step 4: Simplify right side
    298,658.46x = 67,807,718,009.80
  5. Step 5: Solve for x
    x = 67,807,718,009.80/298,658.46
  6. Step 6: Final answer
    x = 227,041.01

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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.