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Finding the Fourth Proportional to 322,849, 445,411.29 and 201,944.35

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Solution

The fourth proportional to 322,849, 445,411.29 and 201,944.35 is: 278,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,849 : 445,411.29 = 201,944.35 : x
  2. Step 2: Convert to fraction form
    322,849/445,411.29 = 201,944.35/x
  3. Step 3: Cross multiply
    322,849x = 445,411.29 × 201,944.35
  4. Step 4: Simplify right side
    322,849x = 89,948,293,441.71
  5. Step 5: Solve for x
    x = 89,948,293,441.71/322,849
  6. Step 6: Final answer
    x = 278,607.94

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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.