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Finding the Fourth Proportional to 320,875.92, 481,423.24 and 96,241.84

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Solution

The fourth proportional to 320,875.92, 481,423.24 and 96,241.84 is: 144,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,875.92 : 481,423.24 = 96,241.84 : x
  2. Step 2: Convert to fraction form
    320,875.92/481,423.24 = 96,241.84/x
  3. Step 3: Cross multiply
    320,875.92x = 481,423.24 × 96,241.84
  4. Step 4: Simplify right side
    320,875.92x = 46,333,058,436.36
  5. Step 5: Solve for x
    x = 46,333,058,436.36/320,875.92
  6. Step 6: Final answer
    x = 144,395.56

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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.