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Finding the Fourth Proportional to 497,796.40, 746,694.60 and 409,222.90

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Solution

The fourth proportional to 497,796.40, 746,694.60 and 409,222.90 is: 613,834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,796.40 : 746,694.60 = 409,222.90 : x
  2. Step 2: Convert to fraction form
    497,796.40/746,694.60 = 409,222.90/x
  3. Step 3: Cross multiply
    497,796.40x = 746,694.60 × 409,222.90
  4. Step 4: Simplify right side
    497,796.40x = 305,564,529,626.34
  5. Step 5: Solve for x
    x = 305,564,529,626.34/497,796.40
  6. Step 6: Final answer
    x = 613,834.35

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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.