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Finding the Fourth Proportional to 482,766.40, 724,322.40 and 202,369.60

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Solution

The fourth proportional to 482,766.40, 724,322.40 and 202,369.60 is: 303,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,766.40 : 724,322.40 = 202,369.60 : x
  2. Step 2: Convert to fraction form
    482,766.40/724,322.40 = 202,369.60/x
  3. Step 3: Cross multiply
    482,766.40x = 724,322.40 × 202,369.60
  4. Step 4: Simplify right side
    482,766.40x = 146,580,834,359.04
  5. Step 5: Solve for x
    x = 146,580,834,359.04/482,766.40
  6. Step 6: Final answer
    x = 303,626.84

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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.