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Finding the Fourth Proportional to 296,739.20, 445,022.40 and 163,683.20

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Solution

The fourth proportional to 296,739.20, 445,022.40 and 163,683.20 is: 245,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,739.20 : 445,022.40 = 163,683.20 : x
  2. Step 2: Convert to fraction form
    296,739.20/445,022.40 = 163,683.20/x
  3. Step 3: Cross multiply
    296,739.20x = 445,022.40 × 163,683.20
  4. Step 4: Simplify right side
    296,739.20x = 72,842,690,503.68
  5. Step 5: Solve for x
    x = 72,842,690,503.68/296,739.20
  6. Step 6: Final answer
    x = 245,477.14

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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.