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Finding the Fourth Proportional to 298,701, 412,207.38 and 164,567.88

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Solution

The fourth proportional to 298,701, 412,207.38 and 164,567.88 is: 227,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,701 : 412,207.38 = 164,567.88 : x
  2. Step 2: Convert to fraction form
    298,701/412,207.38 = 164,567.88/x
  3. Step 3: Cross multiply
    298,701x = 412,207.38 × 164,567.88
  4. Step 4: Simplify right side
    298,701x = 67,836,094,646.95
  5. Step 5: Solve for x
    x = 67,836,094,646.95/298,701
  6. Step 6: Final answer
    x = 227,103.67

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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.