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Finding the Fourth Proportional to 289,321.20, 405,982.80 and 289,321.20

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Solution

The fourth proportional to 289,321.20, 405,982.80 and 289,321.20 is: 405,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,321.20 : 405,982.80 = 289,321.20 : x
  2. Step 2: Convert to fraction form
    289,321.20/405,982.80 = 289,321.20/x
  3. Step 3: Cross multiply
    289,321.20x = 405,982.80 × 289,321.20
  4. Step 4: Simplify right side
    289,321.20x = 117,459,430,875.36
  5. Step 5: Solve for x
    x = 117,459,430,875.36/289,321.20
  6. Step 6: Final answer
    x = 405,982.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.