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Finding the Fourth Proportional to 264,655.56, 396,923.50 and 77,681.64

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Solution

The fourth proportional to 264,655.56, 396,923.50 and 77,681.64 is: 116,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,655.56 : 396,923.50 = 77,681.64 : x
  2. Step 2: Convert to fraction form
    264,655.56/396,923.50 = 77,681.64/x
  3. Step 3: Cross multiply
    264,655.56x = 396,923.50 × 77,681.64
  4. Step 4: Simplify right side
    264,655.56x = 30,833,668,434.54
  5. Step 5: Solve for x
    x = 30,833,668,434.54/264,655.56
  6. Step 6: Final answer
    x = 116,504.90

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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.