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Finding the Fourth Proportional to 295,908.84, 408,239.46 and 188,459.64

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Solution

The fourth proportional to 295,908.84, 408,239.46 and 188,459.64 is: 260,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,908.84 : 408,239.46 = 188,459.64 : x
  2. Step 2: Convert to fraction form
    295,908.84/408,239.46 = 188,459.64/x
  3. Step 3: Cross multiply
    295,908.84x = 408,239.46 × 188,459.64
  4. Step 4: Simplify right side
    295,908.84x = 76,936,661,665.39
  5. Step 5: Solve for x
    x = 76,936,661,665.39/295,908.84
  6. Step 6: Final answer
    x = 260,001.23

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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.