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Finding the Fourth Proportional to 298,293.28, 411,644.58 and 164,157.28

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Solution

The fourth proportional to 298,293.28, 411,644.58 and 164,157.28 is: 226,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,293.28 : 411,644.58 = 164,157.28 : x
  2. Step 2: Convert to fraction form
    298,293.28/411,644.58 = 164,157.28/x
  3. Step 3: Cross multiply
    298,293.28x = 411,644.58 × 164,157.28
  4. Step 4: Simplify right side
    298,293.28x = 67,574,454,579.54
  5. Step 5: Solve for x
    x = 67,574,454,579.54/298,293.28
  6. Step 6: Final answer
    x = 226,536.97

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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.