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Finding the Fourth Proportional to 323,647.32, 446,450.40 and 202,578.42

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Solution

The fourth proportional to 323,647.32, 446,450.40 and 202,578.42 is: 279,443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,647.32 : 446,450.40 = 202,578.42 : x
  2. Step 2: Convert to fraction form
    323,647.32/446,450.40 = 202,578.42/x
  3. Step 3: Cross multiply
    323,647.32x = 446,450.40 × 202,578.42
  4. Step 4: Simplify right side
    323,647.32x = 90,441,216,640.37
  5. Step 5: Solve for x
    x = 90,441,216,640.37/323,647.32
  6. Step 6: Final answer
    x = 279,443.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.