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Finding the Fourth Proportional to 482,806.40, 724,209.60 and 295,923.20

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Solution

The fourth proportional to 482,806.40, 724,209.60 and 295,923.20 is: 443,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,806.40 : 724,209.60 = 295,923.20 : x
  2. Step 2: Convert to fraction form
    482,806.40/724,209.60 = 295,923.20/x
  3. Step 3: Cross multiply
    482,806.40x = 724,209.60 × 295,923.20
  4. Step 4: Simplify right side
    482,806.40x = 214,310,422,302.72
  5. Step 5: Solve for x
    x = 214,310,422,302.72/482,806.40
  6. Step 6: Final answer
    x = 443,884.80

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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.