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Finding the Fourth Proportional to 298,272.24, 411,623.28 and 162,313.56

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Solution

The fourth proportional to 298,272.24, 411,623.28 and 162,313.56 is: 223,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,272.24 : 411,623.28 = 162,313.56 : x
  2. Step 2: Convert to fraction form
    298,272.24/411,623.28 = 162,313.56/x
  3. Step 3: Cross multiply
    298,272.24x = 411,623.28 × 162,313.56
  4. Step 4: Simplify right side
    298,272.24x = 66,812,039,955.68
  5. Step 5: Solve for x
    x = 66,812,039,955.68/298,272.24
  6. Step 6: Final answer
    x = 223,996.84

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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.