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Finding the Fourth Proportional to 298,004.24, 411,250.97 and 162,039.10

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Solution

The fourth proportional to 298,004.24, 411,250.97 and 162,039.10 is: 223,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,004.24 : 411,250.97 = 162,039.10 : x
  2. Step 2: Convert to fraction form
    298,004.24/411,250.97 = 162,039.10/x
  3. Step 3: Cross multiply
    298,004.24x = 411,250.97 × 162,039.10
  4. Step 4: Simplify right side
    298,004.24x = 66,638,737,052.93
  5. Step 5: Solve for x
    x = 66,638,737,052.93/298,004.24
  6. Step 6: Final answer
    x = 223,616.74

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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.