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Finding the Fourth Proportional to 414,466.40, 621,699.60 and 314,933.60

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Solution

The fourth proportional to 414,466.40, 621,699.60 and 314,933.60 is: 472,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,466.40 : 621,699.60 = 314,933.60 : x
  2. Step 2: Convert to fraction form
    414,466.40/621,699.60 = 314,933.60/x
  3. Step 3: Cross multiply
    414,466.40x = 621,699.60 × 314,933.60
  4. Step 4: Simplify right side
    414,466.40x = 195,794,093,146.56
  5. Step 5: Solve for x
    x = 195,794,093,146.56/414,466.40
  6. Step 6: Final answer
    x = 472,400.40

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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.