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Finding the Fourth Proportional to 644,082.30, 966,123.45 and 465,623.10

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Solution

The fourth proportional to 644,082.30, 966,123.45 and 465,623.10 is: 698,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,082.30 : 966,123.45 = 465,623.10 : x
  2. Step 2: Convert to fraction form
    644,082.30/966,123.45 = 465,623.10/x
  3. Step 3: Cross multiply
    644,082.30x = 966,123.45 × 465,623.10
  4. Step 4: Simplify right side
    644,082.30x = 449,849,395,771.70
  5. Step 5: Solve for x
    x = 449,849,395,771.70/644,082.30
  6. Step 6: Final answer
    x = 698,434.65

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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.