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Finding the Fourth Proportional to 362,648.82, 543,972.54 and 96,409.29

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Solution

The fourth proportional to 362,648.82, 543,972.54 and 96,409.29 is: 144,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,648.82 : 543,972.54 = 96,409.29 : x
  2. Step 2: Convert to fraction form
    362,648.82/543,972.54 = 96,409.29/x
  3. Step 3: Cross multiply
    362,648.82x = 543,972.54 × 96,409.29
  4. Step 4: Simplify right side
    362,648.82x = 52,444,006,360.90
  5. Step 5: Solve for x
    x = 52,444,006,360.90/362,648.82
  6. Step 6: Final answer
    x = 144,613.75

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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.