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Finding the Fourth Proportional to 415,408.01, 623,056.52 and 115,863.53

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Solution

The fourth proportional to 415,408.01, 623,056.52 and 115,863.53 is: 173,779.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,408.01 : 623,056.52 = 115,863.53 : x
  2. Step 2: Convert to fraction form
    415,408.01/623,056.52 = 115,863.53/x
  3. Step 3: Cross multiply
    415,408.01x = 623,056.52 × 115,863.53
  4. Step 4: Simplify right side
    415,408.01x = 72,189,524,971.09
  5. Step 5: Solve for x
    x = 72,189,524,971.09/415,408.01
  6. Step 6: Final answer
    x = 173,779.81

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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.