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Finding the Fourth Proportional to 295,634.47, 407,975.94 and 168,310.06

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Solution

The fourth proportional to 295,634.47, 407,975.94 and 168,310.06 is: 232,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,634.47 : 407,975.94 = 168,310.06 : x
  2. Step 2: Convert to fraction form
    295,634.47/407,975.94 = 168,310.06/x
  3. Step 3: Cross multiply
    295,634.47x = 407,975.94 × 168,310.06
  4. Step 4: Simplify right side
    295,634.47x = 68,666,454,939.96
  5. Step 5: Solve for x
    x = 68,666,454,939.96/295,634.47
  6. Step 6: Final answer
    x = 232,268.09

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Why These Related Problems?

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