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Finding the Fourth Proportional to 320,012.82, 441,617.94 and 174,820.59

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Solution

The fourth proportional to 320,012.82, 441,617.94 and 174,820.59 is: 241,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,012.82 : 441,617.94 = 174,820.59 : x
  2. Step 2: Convert to fraction form
    320,012.82/441,617.94 = 174,820.59/x
  3. Step 3: Cross multiply
    320,012.82x = 441,617.94 × 174,820.59
  4. Step 4: Simplify right side
    320,012.82x = 77,203,908,825.38
  5. Step 5: Solve for x
    x = 77,203,908,825.38/320,012.82
  6. Step 6: Final answer
    x = 241,252.55

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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.