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Finding the Fourth Proportional to 383,664.64, 575,609.28 and 196,806.40

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Solution

The fourth proportional to 383,664.64, 575,609.28 and 196,806.40 is: 295,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,664.64 : 575,609.28 = 196,806.40 : x
  2. Step 2: Convert to fraction form
    383,664.64/575,609.28 = 196,806.40/x
  3. Step 3: Cross multiply
    383,664.64x = 575,609.28 × 196,806.40
  4. Step 4: Simplify right side
    383,664.64x = 113,283,590,203.39
  5. Step 5: Solve for x
    x = 113,283,590,203.39/383,664.64
  6. Step 6: Final answer
    x = 295,267.22

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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.