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Finding the Fourth Proportional to 298,369.36, 411,758.43 and 162,412.08

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Solution

The fourth proportional to 298,369.36, 411,758.43 and 162,412.08 is: 224,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,369.36 : 411,758.43 = 162,412.08 : x
  2. Step 2: Convert to fraction form
    298,369.36/411,758.43 = 162,412.08/x
  3. Step 3: Cross multiply
    298,369.36x = 411,758.43 × 162,412.08
  4. Step 4: Simplify right side
    298,369.36x = 66,874,540,920.70
  5. Step 5: Solve for x
    x = 66,874,540,920.70/298,369.36
  6. Step 6: Final answer
    x = 224,133.41

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1.5x scale

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.