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Finding the Fourth Proportional to 264,507.12, 396,763.92 and 77,522.40

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Solution

The fourth proportional to 264,507.12, 396,763.92 and 77,522.40 is: 116,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,507.12 : 396,763.92 = 77,522.40 : x
  2. Step 2: Convert to fraction form
    264,507.12/396,763.92 = 77,522.40/x
  3. Step 3: Cross multiply
    264,507.12x = 396,763.92 × 77,522.40
  4. Step 4: Simplify right side
    264,507.12x = 30,758,091,311.81
  5. Step 5: Solve for x
    x = 30,758,091,311.81/264,507.12
  6. Step 6: Final answer
    x = 116,284.55

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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.