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Finding the Fourth Proportional to 356,896.96, 492,348.03 and 213,629.32

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Solution

The fourth proportional to 356,896.96, 492,348.03 and 213,629.32 is: 294,706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,896.96 : 492,348.03 = 213,629.32 : x
  2. Step 2: Convert to fraction form
    356,896.96/492,348.03 = 213,629.32/x
  3. Step 3: Cross multiply
    356,896.96x = 492,348.03 × 213,629.32
  4. Step 4: Simplify right side
    356,896.96x = 105,179,974,852.24
  5. Step 5: Solve for x
    x = 105,179,974,852.24/356,896.96
  6. Step 6: Final answer
    x = 294,706.84

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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.