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Finding the Fourth Proportional to 253,570.50, 380,213.46 and 173,698.74

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Solution

The fourth proportional to 253,570.50, 380,213.46 and 173,698.74 is: 260,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,570.50 : 380,213.46 = 173,698.74 : x
  2. Step 2: Convert to fraction form
    253,570.50/380,213.46 = 173,698.74/x
  3. Step 3: Cross multiply
    253,570.50x = 380,213.46 × 173,698.74
  4. Step 4: Simplify right side
    253,570.50x = 66,042,598,933.04
  5. Step 5: Solve for x
    x = 66,042,598,933.04/253,570.50
  6. Step 6: Final answer
    x = 260,450.64

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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.