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Finding the Fourth Proportional to 320,423.93, 442,187.87 and 177,193.65

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Solution

The fourth proportional to 320,423.93, 442,187.87 and 177,193.65 is: 244,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,423.93 : 442,187.87 = 177,193.65 : x
  2. Step 2: Convert to fraction form
    320,423.93/442,187.87 = 177,193.65/x
  3. Step 3: Cross multiply
    320,423.93x = 442,187.87 × 177,193.65
  4. Step 4: Simplify right side
    320,423.93x = 78,352,881,785.06
  5. Step 5: Solve for x
    x = 78,352,881,785.06/320,423.93
  6. Step 6: Final answer
    x = 244,528.81

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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.