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Finding the Fourth Proportional to 298,209.47, 411,524.69 and 162,244.62

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Solution

The fourth proportional to 298,209.47, 411,524.69 and 162,244.62 is: 223,895.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,209.47 : 411,524.69 = 162,244.62 : x
  2. Step 2: Convert to fraction form
    298,209.47/411,524.69 = 162,244.62/x
  3. Step 3: Cross multiply
    298,209.47x = 411,524.69 × 162,244.62
  4. Step 4: Simplify right side
    298,209.47x = 66,767,666,138.44
  5. Step 5: Solve for x
    x = 66,767,666,138.44/298,209.47
  6. Step 6: Final answer
    x = 223,895.19

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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.