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Finding the Fourth Proportional to 300,029.49, 414,026.19 and 170,998.20

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Solution

The fourth proportional to 300,029.49, 414,026.19 and 170,998.20 is: 235,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,029.49 : 414,026.19 = 170,998.20 : x
  2. Step 2: Convert to fraction form
    300,029.49/414,026.19 = 170,998.20/x
  3. Step 3: Cross multiply
    300,029.49x = 414,026.19 × 170,998.20
  4. Step 4: Simplify right side
    300,029.49x = 70,797,733,242.86
  5. Step 5: Solve for x
    x = 70,797,733,242.86/300,029.49
  6. Step 6: Final answer
    x = 235,969.25

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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.