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Finding the Fourth Proportional to 397,468.80, 596,458.35 and 220,103.10

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Solution

The fourth proportional to 397,468.80, 596,458.35 and 220,103.10 is: 330,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,468.80 : 596,458.35 = 220,103.10 : x
  2. Step 2: Convert to fraction form
    397,468.80/596,458.35 = 220,103.10/x
  3. Step 3: Cross multiply
    397,468.80x = 596,458.35 × 220,103.10
  4. Step 4: Simplify right side
    397,468.80x = 131,282,331,855.89
  5. Step 5: Solve for x
    x = 131,282,331,855.89/397,468.80
  6. Step 6: Final answer
    x = 330,295.94

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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.