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Finding the Fourth Proportional to 499,934.04, 749,897.42 and 200,410.22

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Solution

The fourth proportional to 499,934.04, 749,897.42 and 200,410.22 is: 300,613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,934.04 : 749,897.42 = 200,410.22 : x
  2. Step 2: Convert to fraction form
    499,934.04/749,897.42 = 200,410.22/x
  3. Step 3: Cross multiply
    499,934.04x = 749,897.42 × 200,410.22
  4. Step 4: Simplify right side
    499,934.04x = 150,287,102,168.09
  5. Step 5: Solve for x
    x = 150,287,102,168.09/499,934.04
  6. Step 6: Final answer
    x = 300,613.86

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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.