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Finding the Fourth Proportional to 403,037, 556,194.30 and 224,189

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Solution

The fourth proportional to 403,037, 556,194.30 and 224,189 is: 309,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,037 : 556,194.30 = 224,189 : x
  2. Step 2: Convert to fraction form
    403,037/556,194.30 = 224,189/x
  3. Step 3: Cross multiply
    403,037x = 556,194.30 × 224,189
  4. Step 4: Simplify right side
    403,037x = 124,692,643,922.70
  5. Step 5: Solve for x
    x = 124,692,643,922.70/403,037
  6. Step 6: Final answer
    x = 309,382.62

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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.