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Finding the Fourth Proportional to 298,298.67, 411,652.17 and 164,162.67

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Solution

The fourth proportional to 298,298.67, 411,652.17 and 164,162.67 is: 226,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,298.67 : 411,652.17 = 164,162.67 : x
  2. Step 2: Convert to fraction form
    298,298.67/411,652.17 = 164,162.67/x
  3. Step 3: Cross multiply
    298,298.67x = 411,652.17 × 164,162.67
  4. Step 4: Simplify right side
    298,298.67x = 67,577,919,338.49
  5. Step 5: Solve for x
    x = 67,577,919,338.49/298,298.67
  6. Step 6: Final answer
    x = 226,544.49

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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.