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Finding the Fourth Proportional to 300,538.24, 414,742.80 and 166,402.24

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Solution

The fourth proportional to 300,538.24, 414,742.80 and 166,402.24 is: 229,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,538.24 : 414,742.80 = 166,402.24 : x
  2. Step 2: Convert to fraction form
    300,538.24/414,742.80 = 166,402.24/x
  3. Step 3: Cross multiply
    300,538.24x = 414,742.80 × 166,402.24
  4. Step 4: Simplify right side
    300,538.24x = 69,014,130,943.87
  5. Step 5: Solve for x
    x = 69,014,130,943.87/300,538.24
  6. Step 6: Final answer
    x = 229,635.11

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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.