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Finding the Fourth Proportional to 619,031.85, 854,441.10 and 364,530.66

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Solution

The fourth proportional to 619,031.85, 854,441.10 and 364,530.66 is: 503,156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,031.85 : 854,441.10 = 364,530.66 : x
  2. Step 2: Convert to fraction form
    619,031.85/854,441.10 = 364,530.66/x
  3. Step 3: Cross multiply
    619,031.85x = 854,441.10 × 364,530.66
  4. Step 4: Simplify right side
    619,031.85x = 311,469,978,114.13
  5. Step 5: Solve for x
    x = 311,469,978,114.13/619,031.85
  6. Step 6: Final answer
    x = 503,156.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.