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Finding the Fourth Proportional to 414,465.40, 622,619.70 and 403,406.20

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Solution

The fourth proportional to 414,465.40, 622,619.70 and 403,406.20 is: 606,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,465.40 : 622,619.70 = 403,406.20 : x
  2. Step 2: Convert to fraction form
    414,465.40/622,619.70 = 403,406.20/x
  3. Step 3: Cross multiply
    414,465.40x = 622,619.70 × 403,406.20
  4. Step 4: Simplify right side
    414,465.40x = 251,168,647,222.14
  5. Step 5: Solve for x
    x = 251,168,647,222.14/414,465.40
  6. Step 6: Final answer
    x = 606,006.31

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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.