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Finding the Fourth Proportional to 264,504.96, 365,128.55 and 178,580.34

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Solution

The fourth proportional to 264,504.96, 365,128.55 and 178,580.34 is: 246,516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,504.96 : 365,128.55 = 178,580.34 : x
  2. Step 2: Convert to fraction form
    264,504.96/365,128.55 = 178,580.34/x
  3. Step 3: Cross multiply
    264,504.96x = 365,128.55 × 178,580.34
  4. Step 4: Simplify right side
    264,504.96x = 65,204,779,709.81
  5. Step 5: Solve for x
    x = 65,204,779,709.81/264,504.96
  6. Step 6: Final answer
    x = 246,516.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.