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Finding the Fourth Proportional to 320,460.09, 442,223.33 and 175,260.91

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Solution

The fourth proportional to 320,460.09, 442,223.33 and 175,260.91 is: 241,853.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,460.09 : 442,223.33 = 175,260.91 : x
  2. Step 2: Convert to fraction form
    320,460.09/442,223.33 = 175,260.91/x
  3. Step 3: Cross multiply
    320,460.09x = 442,223.33 × 175,260.91
  4. Step 4: Simplify right side
    320,460.09x = 77,504,463,239.03
  5. Step 5: Solve for x
    x = 77,504,463,239.03/320,460.09
  6. Step 6: Final answer
    x = 241,853.71

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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.