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Finding the Fourth Proportional to 295,497.54, 407,685.42 and 168,141.24

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Solution

The fourth proportional to 295,497.54, 407,685.42 and 168,141.24 is: 231,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,497.54 : 407,685.42 = 168,141.24 : x
  2. Step 2: Convert to fraction form
    295,497.54/407,685.42 = 168,141.24/x
  3. Step 3: Cross multiply
    295,497.54x = 407,685.42 × 168,141.24
  4. Step 4: Simplify right side
    295,497.54x = 68,548,732,048.72
  5. Step 5: Solve for x
    x = 68,548,732,048.72/295,497.54
  6. Step 6: Final answer
    x = 231,977.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.