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Finding the Fourth Proportional to 415,507.25, 623,541.31 and 162,756.38

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Solution

The fourth proportional to 415,507.25, 623,541.31 and 162,756.38 is: 244,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,507.25 : 623,541.31 = 162,756.38 : x
  2. Step 2: Convert to fraction form
    415,507.25/623,541.31 = 162,756.38/x
  3. Step 3: Cross multiply
    415,507.25x = 623,541.31 × 162,756.38
  4. Step 4: Simplify right side
    415,507.25x = 101,485,328,181.87
  5. Step 5: Solve for x
    x = 101,485,328,181.87/415,507.25
  6. Step 6: Final answer
    x = 244,244.42

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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.