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Finding the Fourth Proportional to 275,373.12, 412,709.76 and 150,568.32

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Solution

The fourth proportional to 275,373.12, 412,709.76 and 150,568.32 is: 225,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,373.12 : 412,709.76 = 150,568.32 : x
  2. Step 2: Convert to fraction form
    275,373.12/412,709.76 = 150,568.32/x
  3. Step 3: Cross multiply
    275,373.12x = 412,709.76 × 150,568.32
  4. Step 4: Simplify right side
    275,373.12x = 62,141,015,210.80
  5. Step 5: Solve for x
    x = 62,141,015,210.80/275,373.12
  6. Step 6: Final answer
    x = 225,661.15

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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.