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Finding the Fourth Proportional to 319,062.30, 440,305.07 and 175,822.31

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Solution

The fourth proportional to 319,062.30, 440,305.07 and 175,822.31 is: 242,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,062.30 : 440,305.07 = 175,822.31 : x
  2. Step 2: Convert to fraction form
    319,062.30/440,305.07 = 175,822.31/x
  3. Step 3: Cross multiply
    319,062.30x = 440,305.07 × 175,822.31
  4. Step 4: Simplify right side
    319,062.30x = 77,415,451,431.47
  5. Step 5: Solve for x
    x = 77,415,451,431.47/319,062.30
  6. Step 6: Final answer
    x = 242,634.28

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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.