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Finding the Fourth Proportional to 700,542, 966,749.04 and 398,736

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Solution

The fourth proportional to 700,542, 966,749.04 and 398,736 is: 550,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,542 : 966,749.04 = 398,736 : x
  2. Step 2: Convert to fraction form
    700,542/966,749.04 = 398,736/x
  3. Step 3: Cross multiply
    700,542x = 966,749.04 × 398,736
  4. Step 4: Simplify right side
    700,542x = 385,477,645,213.44
  5. Step 5: Solve for x
    x = 385,477,645,213.44/700,542
  6. Step 6: Final answer
    x = 550,256.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.