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Finding the Fourth Proportional to 338,784.64, 467,544.09 and 187,881.64

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Solution

The fourth proportional to 338,784.64, 467,544.09 and 187,881.64 is: 259,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,784.64 : 467,544.09 = 187,881.64 : x
  2. Step 2: Convert to fraction form
    338,784.64/467,544.09 = 187,881.64/x
  3. Step 3: Cross multiply
    338,784.64x = 467,544.09 × 187,881.64
  4. Step 4: Simplify right side
    338,784.64x = 87,842,950,401.51
  5. Step 5: Solve for x
    x = 87,842,950,401.51/338,784.64
  6. Step 6: Final answer
    x = 259,288.47

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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.