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Finding the Fourth Proportional to 397,564.40, 596,346.60 and 322,914.80

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Solution

The fourth proportional to 397,564.40, 596,346.60 and 322,914.80 is: 484,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,564.40 : 596,346.60 = 322,914.80 : x
  2. Step 2: Convert to fraction form
    397,564.40/596,346.60 = 322,914.80/x
  3. Step 3: Cross multiply
    397,564.40x = 596,346.60 × 322,914.80
  4. Step 4: Simplify right side
    397,564.40x = 192,569,143,069.68
  5. Step 5: Solve for x
    x = 192,569,143,069.68/397,564.40
  6. Step 6: Final answer
    x = 484,372.20

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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.