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Finding the Fourth Proportional to 300,414.72, 450,460.44 and 120,409.80

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Solution

The fourth proportional to 300,414.72, 450,460.44 and 120,409.80 is: 180,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,414.72 : 450,460.44 = 120,409.80 : x
  2. Step 2: Convert to fraction form
    300,414.72/450,460.44 = 120,409.80/x
  3. Step 3: Cross multiply
    300,414.72x = 450,460.44 × 120,409.80
  4. Step 4: Simplify right side
    300,414.72x = 54,239,851,488.31
  5. Step 5: Solve for x
    x = 54,239,851,488.31/300,414.72
  6. Step 6: Final answer
    x = 180,549.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.