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Finding the Fourth Proportional to 415,507.75, 623,542.06 and 162,756.89

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Solution

The fourth proportional to 415,507.75, 623,542.06 and 162,756.89 is: 244,245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,507.75 : 623,542.06 = 162,756.89 : x
  2. Step 2: Convert to fraction form
    415,507.75/623,542.06 = 162,756.89/x
  3. Step 3: Cross multiply
    415,507.75x = 623,542.06 × 162,756.89
  4. Step 4: Simplify right side
    415,507.75x = 101,485,763,352.08
  5. Step 5: Solve for x
    x = 101,485,763,352.08/415,507.75
  6. Step 6: Final answer
    x = 244,245.18

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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.