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Finding the Fourth Proportional to 465,324.40, 697,986.60 and 305,892.10

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Solution

The fourth proportional to 465,324.40, 697,986.60 and 305,892.10 is: 458,838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,324.40 : 697,986.60 = 305,892.10 : x
  2. Step 2: Convert to fraction form
    465,324.40/697,986.60 = 305,892.10/x
  3. Step 3: Cross multiply
    465,324.40x = 697,986.60 × 305,892.10
  4. Step 4: Simplify right side
    465,324.40x = 213,508,586,845.86
  5. Step 5: Solve for x
    x = 213,508,586,845.86/465,324.40
  6. Step 6: Final answer
    x = 458,838.15

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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.