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Finding the Fourth Proportional to 538,142.20, 807,213.30 and 512,337.40

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Solution

The fourth proportional to 538,142.20, 807,213.30 and 512,337.40 is: 768,506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,142.20 : 807,213.30 = 512,337.40 : x
  2. Step 2: Convert to fraction form
    538,142.20/807,213.30 = 512,337.40/x
  3. Step 3: Cross multiply
    538,142.20x = 807,213.30 × 512,337.40
  4. Step 4: Simplify right side
    538,142.20x = 413,565,563,367.42
  5. Step 5: Solve for x
    x = 413,565,563,367.42/538,142.20
  6. Step 6: Final answer
    x = 768,506.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.