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Finding the Fourth Proportional to 356,915.64, 492,544.38 and 206,012.52

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Solution

The fourth proportional to 356,915.64, 492,544.38 and 206,012.52 is: 284,297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,915.64 : 492,544.38 = 206,012.52 : x
  2. Step 2: Convert to fraction form
    356,915.64/492,544.38 = 206,012.52/x
  3. Step 3: Cross multiply
    356,915.64x = 492,544.38 × 206,012.52
  4. Step 4: Simplify right side
    356,915.64x = 101,470,308,935.64
  5. Step 5: Solve for x
    x = 101,470,308,935.64/356,915.64
  6. Step 6: Final answer
    x = 284,297.74

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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.