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Finding the Fourth Proportional to 414,742.40, 622,113.60 and 407,830.40

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Solution

The fourth proportional to 414,742.40, 622,113.60 and 407,830.40 is: 611,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,742.40 : 622,113.60 = 407,830.40 : x
  2. Step 2: Convert to fraction form
    414,742.40/622,113.60 = 407,830.40/x
  3. Step 3: Cross multiply
    414,742.40x = 622,113.60 × 407,830.40
  4. Step 4: Simplify right side
    414,742.40x = 253,716,838,333.44
  5. Step 5: Solve for x
    x = 253,716,838,333.44/414,742.40
  6. Step 6: Final answer
    x = 611,745.60

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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.