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Finding the Fourth Proportional to 472,321.60, 651,793.44 and 257,453.44

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Solution

The fourth proportional to 472,321.60, 651,793.44 and 257,453.44 is: 355,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,321.60 : 651,793.44 = 257,453.44 : x
  2. Step 2: Convert to fraction form
    472,321.60/651,793.44 = 257,453.44/x
  3. Step 3: Cross multiply
    472,321.60x = 651,793.44 × 257,453.44
  4. Step 4: Simplify right side
    472,321.60x = 167,806,463,297.43
  5. Step 5: Solve for x
    x = 167,806,463,297.43/472,321.60
  6. Step 6: Final answer
    x = 355,280.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.