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Finding the Fourth Proportional to 200,284.34, 300,436.22 and 65,348.15

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Solution

The fourth proportional to 200,284.34, 300,436.22 and 65,348.15 is: 98,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,284.34 : 300,436.22 = 65,348.15 : x
  2. Step 2: Convert to fraction form
    200,284.34/300,436.22 = 65,348.15/x
  3. Step 3: Cross multiply
    200,284.34x = 300,436.22 × 65,348.15
  4. Step 4: Simplify right side
    200,284.34x = 19,632,951,169.99
  5. Step 5: Solve for x
    x = 19,632,951,169.99/200,284.34
  6. Step 6: Final answer
    x = 98,025.39

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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.