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Finding the Fourth Proportional to 308,045.20, 462,221.40 and 175,027.60

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Solution

The fourth proportional to 308,045.20, 462,221.40 and 175,027.60 is: 262,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,045.20 : 462,221.40 = 175,027.60 : x
  2. Step 2: Convert to fraction form
    308,045.20/462,221.40 = 175,027.60/x
  3. Step 3: Cross multiply
    308,045.20x = 462,221.40 × 175,027.60
  4. Step 4: Simplify right side
    308,045.20x = 80,901,502,310.64
  5. Step 5: Solve for x
    x = 80,901,502,310.64/308,045.20
  6. Step 6: Final answer
    x = 262,628.67

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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.