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Finding the Fourth Proportional to 493,540.80, 740,311.20 and 417,433.20

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Solution

The fourth proportional to 493,540.80, 740,311.20 and 417,433.20 is: 626,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,540.80 : 740,311.20 = 417,433.20 : x
  2. Step 2: Convert to fraction form
    493,540.80/740,311.20 = 417,433.20/x
  3. Step 3: Cross multiply
    493,540.80x = 740,311.20 × 417,433.20
  4. Step 4: Simplify right side
    493,540.80x = 309,030,473,211.84
  5. Step 5: Solve for x
    x = 309,030,473,211.84/493,540.80
  6. Step 6: Final answer
    x = 626,149.80

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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.