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Finding the Fourth Proportional to 414,175.31, 620,352.32 and 342,283.16

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Solution

The fourth proportional to 414,175.31, 620,352.32 and 342,283.16 is: 512,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,175.31 : 620,352.32 = 342,283.16 : x
  2. Step 2: Convert to fraction form
    414,175.31/620,352.32 = 342,283.16/x
  3. Step 3: Cross multiply
    414,175.31x = 620,352.32 × 342,283.16
  4. Step 4: Simplify right side
    414,175.31x = 212,336,147,589.75
  5. Step 5: Solve for x
    x = 212,336,147,589.75/414,175.31
  6. Step 6: Final answer
    x = 512,672.16

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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.