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Finding the Fourth Proportional to 492,830.92, 739,252.22 and 193,452.48

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Solution

The fourth proportional to 492,830.92, 739,252.22 and 193,452.48 is: 290,181.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,830.92 : 739,252.22 = 193,452.48 : x
  2. Step 2: Convert to fraction form
    492,830.92/739,252.22 = 193,452.48/x
  3. Step 3: Cross multiply
    492,830.92x = 739,252.22 × 193,452.48
  4. Step 4: Simplify right side
    492,830.92x = 143,010,175,304.51
  5. Step 5: Solve for x
    x = 143,010,175,304.51/492,830.92
  6. Step 6: Final answer
    x = 290,181.01

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Why These Related Problems?

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