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Finding the Fourth Proportional to 298,645.67, 412,131.03 and 164,509.67

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Solution

The fourth proportional to 298,645.67, 412,131.03 and 164,509.67 is: 227,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,645.67 : 412,131.03 = 164,509.67 : x
  2. Step 2: Convert to fraction form
    298,645.67/412,131.03 = 164,509.67/x
  3. Step 3: Cross multiply
    298,645.67x = 412,131.03 × 164,509.67
  4. Step 4: Simplify right side
    298,645.67x = 67,799,539,742.06
  5. Step 5: Solve for x
    x = 67,799,539,742.06/298,645.67
  6. Step 6: Final answer
    x = 227,023.35

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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.