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Finding the Fourth Proportional to 320,159.39, 441,821.32 and 174,968.06

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Solution

The fourth proportional to 320,159.39, 441,821.32 and 174,968.06 is: 241,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,159.39 : 441,821.32 = 174,968.06 : x
  2. Step 2: Convert to fraction form
    320,159.39/441,821.32 = 174,968.06/x
  3. Step 3: Cross multiply
    320,159.39x = 441,821.32 × 174,968.06
  4. Step 4: Simplify right side
    320,159.39x = 77,304,616,580.51
  5. Step 5: Solve for x
    x = 77,304,616,580.51/320,159.39
  6. Step 6: Final answer
    x = 241,456.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.