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Finding the Fourth Proportional to 264,654.56, 396,922 and 77,680.64

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Solution

The fourth proportional to 264,654.56, 396,922 and 77,680.64 is: 116,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,654.56 : 396,922 = 77,680.64 : x
  2. Step 2: Convert to fraction form
    264,654.56/396,922 = 77,680.64/x
  3. Step 3: Cross multiply
    264,654.56x = 396,922 × 77,680.64
  4. Step 4: Simplify right side
    264,654.56x = 30,833,154,990.08
  5. Step 5: Solve for x
    x = 30,833,154,990.08/264,654.56
  6. Step 6: Final answer
    x = 116,503.40

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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.