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Finding the Fourth Proportional to 298,632.13, 412,112.36 and 164,496.13

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Solution

The fourth proportional to 298,632.13, 412,112.36 and 164,496.13 is: 227,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,632.13 : 412,112.36 = 164,496.13 : x
  2. Step 2: Convert to fraction form
    298,632.13/412,112.36 = 164,496.13/x
  3. Step 3: Cross multiply
    298,632.13x = 412,112.36 × 164,496.13
  4. Step 4: Simplify right side
    298,632.13x = 67,790,888,345.17
  5. Step 5: Solve for x
    x = 67,790,888,345.17/298,632.13
  6. Step 6: Final answer
    x = 227,004.67

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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.