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Finding the Fourth Proportional to 225,624.80, 338,437.20 and 206,271.20

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Solution

The fourth proportional to 225,624.80, 338,437.20 and 206,271.20 is: 309,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,624.80 : 338,437.20 = 206,271.20 : x
  2. Step 2: Convert to fraction form
    225,624.80/338,437.20 = 206,271.20/x
  3. Step 3: Cross multiply
    225,624.80x = 338,437.20 × 206,271.20
  4. Step 4: Simplify right side
    225,624.80x = 69,809,847,368.64
  5. Step 5: Solve for x
    x = 69,809,847,368.64/225,624.80
  6. Step 6: Final answer
    x = 309,406.80

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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.