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Finding the Fourth Proportional to 469,658.98, 705,458.77 and 449,191.73

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Solution

The fourth proportional to 469,658.98, 705,458.77 and 449,191.73 is: 674,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,658.98 : 705,458.77 = 449,191.73 : x
  2. Step 2: Convert to fraction form
    469,658.98/705,458.77 = 449,191.73/x
  3. Step 3: Cross multiply
    469,658.98x = 705,458.77 × 449,191.73
  4. Step 4: Simplify right side
    469,658.98x = 316,886,242,012.43
  5. Step 5: Solve for x
    x = 316,886,242,012.43/469,658.98
  6. Step 6: Final answer
    x = 674,715.60

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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.