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Finding the Fourth Proportional to 415,290.15, 622,987.08 and 162,537.96

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Solution

The fourth proportional to 415,290.15, 622,987.08 and 162,537.96 is: 243,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,290.15 : 622,987.08 = 162,537.96 : x
  2. Step 2: Convert to fraction form
    415,290.15/622,987.08 = 162,537.96/x
  3. Step 3: Cross multiply
    415,290.15x = 622,987.08 × 162,537.96
  4. Step 4: Simplify right side
    415,290.15x = 101,259,049,089.56
  5. Step 5: Solve for x
    x = 101,259,049,089.56/415,290.15
  6. Step 6: Final answer
    x = 243,827.24

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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.