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Finding the Fourth Proportional to 295,914.36, 408,247.04 and 188,465.16

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Solution

The fourth proportional to 295,914.36, 408,247.04 and 188,465.16 is: 260,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,914.36 : 408,247.04 = 188,465.16 : x
  2. Step 2: Convert to fraction form
    295,914.36/408,247.04 = 188,465.16/x
  3. Step 3: Cross multiply
    295,914.36x = 408,247.04 × 188,465.16
  4. Step 4: Simplify right side
    295,914.36x = 76,940,343,713.13
  5. Step 5: Solve for x
    x = 76,940,343,713.13/295,914.36
  6. Step 6: Final answer
    x = 260,008.82

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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.