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Finding the Fourth Proportional to 320,382.54, 442,130.79 and 175,192.50

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Solution

The fourth proportional to 320,382.54, 442,130.79 and 175,192.50 is: 241,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,382.54 : 442,130.79 = 175,192.50 : x
  2. Step 2: Convert to fraction form
    320,382.54/442,130.79 = 175,192.50/x
  3. Step 3: Cross multiply
    320,382.54x = 442,130.79 × 175,192.50
  4. Step 4: Simplify right side
    320,382.54x = 77,457,998,427.08
  5. Step 5: Solve for x
    x = 77,457,998,427.08/320,382.54
  6. Step 6: Final answer
    x = 241,767.23

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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.