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Finding the Fourth Proportional to 433,873.76, 598,745.78 and 264,107.88

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Solution

The fourth proportional to 433,873.76, 598,745.78 and 264,107.88 is: 364,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,873.76 : 598,745.78 = 264,107.88 : x
  2. Step 2: Convert to fraction form
    433,873.76/598,745.78 = 264,107.88/x
  3. Step 3: Cross multiply
    433,873.76x = 598,745.78 × 264,107.88
  4. Step 4: Simplify right side
    433,873.76x = 158,133,478,614.75
  5. Step 5: Solve for x
    x = 158,133,478,614.75/433,873.76
  6. Step 6: Final answer
    x = 364,468.87

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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.