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Finding the Fourth Proportional to 362,342.64, 541,073.94 and 295,914.54

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Solution

The fourth proportional to 362,342.64, 541,073.94 and 295,914.54 is: 441,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,342.64 : 541,073.94 = 295,914.54 : x
  2. Step 2: Convert to fraction form
    362,342.64/541,073.94 = 295,914.54/x
  3. Step 3: Cross multiply
    362,342.64x = 541,073.94 × 295,914.54
  4. Step 4: Simplify right side
    362,342.64x = 160,111,646,061.09
  5. Step 5: Solve for x
    x = 160,111,646,061.09/362,342.64
  6. Step 6: Final answer
    x = 441,879.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.