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Finding the Fourth Proportional to 523,467.52, 722,201.22 and 342,285.50

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Solution

The fourth proportional to 523,467.52, 722,201.22 and 342,285.50 is: 472,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,467.52 : 722,201.22 = 342,285.50 : x
  2. Step 2: Convert to fraction form
    523,467.52/722,201.22 = 342,285.50/x
  3. Step 3: Cross multiply
    523,467.52x = 722,201.22 × 342,285.50
  4. Step 4: Simplify right side
    523,467.52x = 247,199,005,688.31
  5. Step 5: Solve for x
    x = 247,199,005,688.31/523,467.52
  6. Step 6: Final answer
    x = 472,233.70

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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.