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Finding the Fourth Proportional to 397,783.72, 596,584.44 and 113,468.88

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Solution

The fourth proportional to 397,783.72, 596,584.44 and 113,468.88 is: 170,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,783.72 : 596,584.44 = 113,468.88 : x
  2. Step 2: Convert to fraction form
    397,783.72/596,584.44 = 113,468.88/x
  3. Step 3: Cross multiply
    397,783.72x = 596,584.44 × 113,468.88
  4. Step 4: Simplify right side
    397,783.72x = 67,693,768,232.23
  5. Step 5: Solve for x
    x = 67,693,768,232.23/397,783.72
  6. Step 6: Final answer
    x = 170,177.32

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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.