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Finding the Fourth Proportional to 338,987, 467,816.64 and 188,084

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Solution

The fourth proportional to 338,987, 467,816.64 and 188,084 is: 259,564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,987 : 467,816.64 = 188,084 : x
  2. Step 2: Convert to fraction form
    338,987/467,816.64 = 188,084/x
  3. Step 3: Cross multiply
    338,987x = 467,816.64 × 188,084
  4. Step 4: Simplify right side
    338,987x = 87,988,824,917.76
  5. Step 5: Solve for x
    x = 87,988,824,917.76/338,987
  6. Step 6: Final answer
    x = 259,564.01

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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.