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Finding the Fourth Proportional to 361,570.06, 498,914.22 and 200,425

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Solution

The fourth proportional to 361,570.06, 498,914.22 and 200,425 is: 276,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,570.06 : 498,914.22 = 200,425 : x
  2. Step 2: Convert to fraction form
    361,570.06/498,914.22 = 200,425/x
  3. Step 3: Cross multiply
    361,570.06x = 498,914.22 × 200,425
  4. Step 4: Simplify right side
    361,570.06x = 99,994,882,543.50
  5. Step 5: Solve for x
    x = 99,994,882,543.50/361,570.06
  6. Step 6: Final answer
    x = 276,557.42

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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.