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Finding the Fourth Proportional to 298,194.64, 411,498.06 and 162,224.80

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Solution

The fourth proportional to 298,194.64, 411,498.06 and 162,224.80 is: 223,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,194.64 : 411,498.06 = 162,224.80 : x
  2. Step 2: Convert to fraction form
    298,194.64/411,498.06 = 162,224.80/x
  3. Step 3: Cross multiply
    298,194.64x = 411,498.06 × 162,224.80
  4. Step 4: Simplify right side
    298,194.64x = 66,755,190,483.89
  5. Step 5: Solve for x
    x = 66,755,190,483.89/298,194.64
  6. Step 6: Final answer
    x = 223,864.49

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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.