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Finding the Fourth Proportional to 322,768.56, 445,396.32 and 186,803.04

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Solution

The fourth proportional to 322,768.56, 445,396.32 and 186,803.04 is: 257,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,768.56 : 445,396.32 = 186,803.04 : x
  2. Step 2: Convert to fraction form
    322,768.56/445,396.32 = 186,803.04/x
  3. Step 3: Cross multiply
    322,768.56x = 445,396.32 × 186,803.04
  4. Step 4: Simplify right side
    322,768.56x = 83,201,386,580.81
  5. Step 5: Solve for x
    x = 83,201,386,580.81/322,768.56
  6. Step 6: Final answer
    x = 257,774.14

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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.