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Finding the Fourth Proportional to 361,649.14, 499,074.96 and 200,500.06

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Solution

The fourth proportional to 361,649.14, 499,074.96 and 200,500.06 is: 276,689.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,649.14 : 499,074.96 = 200,500.06 : x
  2. Step 2: Convert to fraction form
    361,649.14/499,074.96 = 200,500.06/x
  3. Step 3: Cross multiply
    361,649.14x = 499,074.96 × 200,500.06
  4. Step 4: Simplify right side
    361,649.14x = 100,064,559,424.50
  5. Step 5: Solve for x
    x = 100,064,559,424.50/361,649.14
  6. Step 6: Final answer
    x = 276,689.61

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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.