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Finding the Fourth Proportional to 298,524.14, 411,973.50 and 162,560.42

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Solution

The fourth proportional to 298,524.14, 411,973.50 and 162,560.42 is: 224,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,524.14 : 411,973.50 = 162,560.42 : x
  2. Step 2: Convert to fraction form
    298,524.14/411,973.50 = 162,560.42/x
  3. Step 3: Cross multiply
    298,524.14x = 411,973.50 × 162,560.42
  4. Step 4: Simplify right side
    298,524.14x = 66,970,585,188.87
  5. Step 5: Solve for x
    x = 66,970,585,188.87/298,524.14
  6. Step 6: Final answer
    x = 224,338.93

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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.