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Finding the Fourth Proportional to 397,249.20, 595,880.28 and 97,730.64

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Solution

The fourth proportional to 397,249.20, 595,880.28 and 97,730.64 is: 146,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,249.20 : 595,880.28 = 97,730.64 : x
  2. Step 2: Convert to fraction form
    397,249.20/595,880.28 = 97,730.64/x
  3. Step 3: Cross multiply
    397,249.20x = 595,880.28 × 97,730.64
  4. Step 4: Simplify right side
    397,249.20x = 58,235,761,127.78
  5. Step 5: Solve for x
    x = 58,235,761,127.78/397,249.20
  6. Step 6: Final answer
    x = 146,597.55

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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.