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Finding the Fourth Proportional to 523,792.64, 722,833.92 and 285,328.64

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Solution

The fourth proportional to 523,792.64, 722,833.92 and 285,328.64 is: 393,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,792.64 : 722,833.92 = 285,328.64 : x
  2. Step 2: Convert to fraction form
    523,792.64/722,833.92 = 285,328.64/x
  3. Step 3: Cross multiply
    523,792.64x = 722,833.92 × 285,328.64
  4. Step 4: Simplify right side
    523,792.64x = 206,245,219,339.47
  5. Step 5: Solve for x
    x = 206,245,219,339.47/523,792.64
  6. Step 6: Final answer
    x = 393,753.57

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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.