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Finding the Fourth Proportional to 363,457.87, 501,568.14 and 200,109.22

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Solution

The fourth proportional to 363,457.87, 501,568.14 and 200,109.22 is: 276,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,457.87 : 501,568.14 = 200,109.22 : x
  2. Step 2: Convert to fraction form
    363,457.87/501,568.14 = 200,109.22/x
  3. Step 3: Cross multiply
    363,457.87x = 501,568.14 × 200,109.22
  4. Step 4: Simplify right side
    363,457.87x = 100,368,409,272.25
  5. Step 5: Solve for x
    x = 100,368,409,272.25/363,457.87
  6. Step 6: Final answer
    x = 276,148.68

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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.