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Finding the Fourth Proportional to 264,615.96, 396,930.42 and 77,633.40

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Solution

The fourth proportional to 264,615.96, 396,930.42 and 77,633.40 is: 116,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,615.96 : 396,930.42 = 77,633.40 : x
  2. Step 2: Convert to fraction form
    264,615.96/396,930.42 = 77,633.40/x
  3. Step 3: Cross multiply
    264,615.96x = 396,930.42 × 77,633.40
  4. Step 4: Simplify right side
    264,615.96x = 30,815,058,068.03
  5. Step 5: Solve for x
    x = 30,815,058,068.03/264,615.96
  6. Step 6: Final answer
    x = 116,452.00

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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.