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Finding the Fourth Proportional to 397,796.08, 596,713.78 and 113,528.52

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Solution

The fourth proportional to 397,796.08, 596,713.78 and 113,528.52 is: 170,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,796.08 : 596,713.78 = 113,528.52 : x
  2. Step 2: Convert to fraction form
    397,796.08/596,713.78 = 113,528.52/x
  3. Step 3: Cross multiply
    397,796.08x = 596,713.78 × 113,528.52
  4. Step 4: Simplify right side
    397,796.08x = 67,744,032,307.01
  5. Step 5: Solve for x
    x = 67,744,032,307.01/397,796.08
  6. Step 6: Final answer
    x = 170,298.39

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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.