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Finding the Fourth Proportional to 456,427.89, 685,035.50 and 176,141.97

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Solution

The fourth proportional to 456,427.89, 685,035.50 and 176,141.97 is: 264,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,427.89 : 685,035.50 = 176,141.97 : x
  2. Step 2: Convert to fraction form
    456,427.89/685,035.50 = 176,141.97/x
  3. Step 3: Cross multiply
    456,427.89x = 685,035.50 × 176,141.97
  4. Step 4: Simplify right side
    456,427.89x = 120,663,501,609.23
  5. Step 5: Solve for x
    x = 120,663,501,609.23/456,427.89
  6. Step 6: Final answer
    x = 264,364.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.