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Finding the Fourth Proportional to 227,879.28, 314,419.80 and 132,328.56

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Solution

The fourth proportional to 227,879.28, 314,419.80 and 132,328.56 is: 182,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,879.28 : 314,419.80 = 132,328.56 : x
  2. Step 2: Convert to fraction form
    227,879.28/314,419.80 = 132,328.56/x
  3. Step 3: Cross multiply
    227,879.28x = 314,419.80 × 132,328.56
  4. Step 4: Simplify right side
    227,879.28x = 41,606,719,369.49
  5. Step 5: Solve for x
    x = 41,606,719,369.49/227,879.28
  6. Step 6: Final answer
    x = 182,582.28

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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.