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Finding the Fourth Proportional to 320,970.69, 481,502.97 and 96,348.87

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Solution

The fourth proportional to 320,970.69, 481,502.97 and 96,348.87 is: 144,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,970.69 : 481,502.97 = 96,348.87 : x
  2. Step 2: Convert to fraction form
    320,970.69/481,502.97 = 96,348.87/x
  3. Step 3: Cross multiply
    320,970.69x = 481,502.97 × 96,348.87
  4. Step 4: Simplify right side
    320,970.69x = 46,392,267,061.14
  5. Step 5: Solve for x
    x = 46,392,267,061.14/320,970.69
  6. Step 6: Final answer
    x = 144,537.39

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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.