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Finding the Fourth Proportional to 449,601.40, 674,402.10 and 428,865.40

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Solution

The fourth proportional to 449,601.40, 674,402.10 and 428,865.40 is: 643,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,601.40 : 674,402.10 = 428,865.40 : x
  2. Step 2: Convert to fraction form
    449,601.40/674,402.10 = 428,865.40/x
  3. Step 3: Cross multiply
    449,601.40x = 674,402.10 × 428,865.40
  4. Step 4: Simplify right side
    449,601.40x = 289,227,726,377.34
  5. Step 5: Solve for x
    x = 289,227,726,377.34/449,601.40
  6. Step 6: Final answer
    x = 643,298.10

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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.