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Finding the Fourth Proportional to 429,575.40, 644,363.10 and 413,245.80

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Solution

The fourth proportional to 429,575.40, 644,363.10 and 413,245.80 is: 619,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,575.40 : 644,363.10 = 413,245.80 : x
  2. Step 2: Convert to fraction form
    429,575.40/644,363.10 = 413,245.80/x
  3. Step 3: Cross multiply
    429,575.40x = 644,363.10 × 413,245.80
  4. Step 4: Simplify right side
    429,575.40x = 266,280,344,749.98
  5. Step 5: Solve for x
    x = 266,280,344,749.98/429,575.40
  6. Step 6: Final answer
    x = 619,868.70

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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.