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Finding the Fourth Proportional to 295,887.72, 408,210.30 and 188,438.52

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Solution

The fourth proportional to 295,887.72, 408,210.30 and 188,438.52 is: 259,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,887.72 : 408,210.30 = 188,438.52 : x
  2. Step 2: Convert to fraction form
    295,887.72/408,210.30 = 188,438.52/x
  3. Step 3: Cross multiply
    295,887.72x = 408,210.30 × 188,438.52
  4. Step 4: Simplify right side
    295,887.72x = 76,922,544,780.76
  5. Step 5: Solve for x
    x = 76,922,544,780.76/295,887.72
  6. Step 6: Final answer
    x = 259,972.08

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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.