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Finding the Fourth Proportional to 523,469.12, 722,203.43 and 342,287.10

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Solution

The fourth proportional to 523,469.12, 722,203.43 and 342,287.10 is: 472,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,469.12 : 722,203.43 = 342,287.10 : x
  2. Step 2: Convert to fraction form
    523,469.12/722,203.43 = 342,287.10/x
  3. Step 3: Cross multiply
    523,469.12x = 722,203.43 × 342,287.10
  4. Step 4: Simplify right side
    523,469.12x = 247,200,915,953.32
  5. Step 5: Solve for x
    x = 247,200,915,953.32/523,469.12
  6. Step 6: Final answer
    x = 472,235.91

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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.