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Finding the Fourth Proportional to 538,551.96, 807,992 and 254,460.64

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Solution

The fourth proportional to 538,551.96, 807,992 and 254,460.64 is: 381,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,551.96 : 807,992 = 254,460.64 : x
  2. Step 2: Convert to fraction form
    538,551.96/807,992 = 254,460.64/x
  3. Step 3: Cross multiply
    538,551.96x = 807,992 × 254,460.64
  4. Step 4: Simplify right side
    538,551.96x = 205,602,161,434.88
  5. Step 5: Solve for x
    x = 205,602,161,434.88/538,551.96
  6. Step 6: Final answer
    x = 381,768.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.