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Finding the Fourth Proportional to 324,050, 447,206.28 and 189,957.20

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Solution

The fourth proportional to 324,050, 447,206.28 and 189,957.20 is: 262,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,050 : 447,206.28 = 189,957.20 : x
  2. Step 2: Convert to fraction form
    324,050/447,206.28 = 189,957.20/x
  3. Step 3: Cross multiply
    324,050x = 447,206.28 × 189,957.20
  4. Step 4: Simplify right side
    324,050x = 84,950,052,771.22
  5. Step 5: Solve for x
    x = 84,950,052,771.22/324,050
  6. Step 6: Final answer
    x = 262,151.07

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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.