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Finding the Fourth Proportional to 397,554, 596,334.16 and 145,015.44

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Solution

The fourth proportional to 397,554, 596,334.16 and 145,015.44 is: 217,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,554 : 596,334.16 = 145,015.44 : x
  2. Step 2: Convert to fraction form
    397,554/596,334.16 = 145,015.44/x
  3. Step 3: Cross multiply
    397,554x = 596,334.16 × 145,015.44
  4. Step 4: Simplify right side
    397,554x = 86,477,660,599.43
  5. Step 5: Solve for x
    x = 86,477,660,599.43/397,554
  6. Step 6: Final answer
    x = 217,524.31

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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.