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Finding the Fourth Proportional to 523,468.02, 722,201.92 and 342,286

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Solution

The fourth proportional to 523,468.02, 722,201.92 and 342,286 is: 472,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,468.02 : 722,201.92 = 342,286 : x
  2. Step 2: Convert to fraction form
    523,468.02/722,201.92 = 342,286/x
  3. Step 3: Cross multiply
    523,468.02x = 722,201.92 × 342,286
  4. Step 4: Simplify right side
    523,468.02x = 247,199,606,389.12
  5. Step 5: Solve for x
    x = 247,199,606,389.12/523,468.02
  6. Step 6: Final answer
    x = 472,234.40

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