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Finding the Fourth Proportional to 300,126.80, 449,966.62 and 100,328.96

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Solution

The fourth proportional to 300,126.80, 449,966.62 and 100,328.96 is: 150,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,126.80 : 449,966.62 = 100,328.96 : x
  2. Step 2: Convert to fraction form
    300,126.80/449,966.62 = 100,328.96/x
  3. Step 3: Cross multiply
    300,126.80x = 449,966.62 × 100,328.96
  4. Step 4: Simplify right side
    300,126.80x = 45,144,683,019.32
  5. Step 5: Solve for x
    x = 45,144,683,019.32/300,126.80
  6. Step 6: Final answer
    x = 150,418.70

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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.