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Finding the Fourth Proportional to 298,334.54, 411,597.74 and 169,257.80

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Solution

The fourth proportional to 298,334.54, 411,597.74 and 169,257.80 is: 233,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,334.54 : 411,597.74 = 169,257.80 : x
  2. Step 2: Convert to fraction form
    298,334.54/411,597.74 = 169,257.80/x
  3. Step 3: Cross multiply
    298,334.54x = 411,597.74 × 169,257.80
  4. Step 4: Simplify right side
    298,334.54x = 69,666,129,409.51
  5. Step 5: Solve for x
    x = 69,666,129,409.51/298,334.54
  6. Step 6: Final answer
    x = 233,516.81

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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.