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Finding the Fourth Proportional to 416,059.47, 624,162.11 and 179,411.49

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Solution

The fourth proportional to 416,059.47, 624,162.11 and 179,411.49 is: 269,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,059.47 : 624,162.11 = 179,411.49 : x
  2. Step 2: Convert to fraction form
    416,059.47/624,162.11 = 179,411.49/x
  3. Step 3: Cross multiply
    416,059.47x = 624,162.11 × 179,411.49
  4. Step 4: Simplify right side
    416,059.47x = 111,981,853,259.59
  5. Step 5: Solve for x
    x = 111,981,853,259.59/416,059.47
  6. Step 6: Final answer
    x = 269,148.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.