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Finding the Fourth Proportional to 472,942.26, 652,674.11 and 258,096.16

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Solution

The fourth proportional to 472,942.26, 652,674.11 and 258,096.16 is: 356,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,942.26 : 652,674.11 = 258,096.16 : x
  2. Step 2: Convert to fraction form
    472,942.26/652,674.11 = 258,096.16/x
  3. Step 3: Cross multiply
    472,942.26x = 652,674.11 × 258,096.16
  4. Step 4: Simplify right side
    472,942.26x = 168,452,680,231.94
  5. Step 5: Solve for x
    x = 168,452,680,231.94/472,942.26
  6. Step 6: Final answer
    x = 356,180.23

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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.