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Finding the Fourth Proportional to 414,501.40, 622,673.70 and 398,834.20

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Solution

The fourth proportional to 414,501.40, 622,673.70 and 398,834.20 is: 599,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,501.40 : 622,673.70 = 398,834.20 : x
  2. Step 2: Convert to fraction form
    414,501.40/622,673.70 = 398,834.20/x
  3. Step 3: Cross multiply
    414,501.40x = 622,673.70 × 398,834.20
  4. Step 4: Simplify right side
    414,501.40x = 248,343,567,000.54
  5. Step 5: Solve for x
    x = 248,343,567,000.54/414,501.40
  6. Step 6: Final answer
    x = 599,138.07

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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.