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Finding the Fourth Proportional to 270,471.25, 405,225.73 and 230,624.11

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Solution

The fourth proportional to 270,471.25, 405,225.73 and 230,624.11 is: 345,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,471.25 : 405,225.73 = 230,624.11 : x
  2. Step 2: Convert to fraction form
    270,471.25/405,225.73 = 230,624.11/x
  3. Step 3: Cross multiply
    270,471.25x = 405,225.73 × 230,624.11
  4. Step 4: Simplify right side
    270,471.25x = 93,454,823,330.35
  5. Step 5: Solve for x
    x = 93,454,823,330.35/270,471.25
  6. Step 6: Final answer
    x = 345,525.90

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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.