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Finding the Fourth Proportional to 501,123, 691,872.30 and 447,315.96

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Solution

The fourth proportional to 501,123, 691,872.30 and 447,315.96 is: 617,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,123 : 691,872.30 = 447,315.96 : x
  2. Step 2: Convert to fraction form
    501,123/691,872.30 = 447,315.96/x
  3. Step 3: Cross multiply
    501,123x = 691,872.30 × 447,315.96
  4. Step 4: Simplify right side
    501,123x = 309,485,522,071.91
  5. Step 5: Solve for x
    x = 309,485,522,071.91/501,123
  6. Step 6: Final answer
    x = 617,583.95

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