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Finding the Fourth Proportional to 297,790.24, 410,953.08 and 161,824.16

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Solution

The fourth proportional to 297,790.24, 410,953.08 and 161,824.16 is: 223,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,790.24 : 410,953.08 = 161,824.16 : x
  2. Step 2: Convert to fraction form
    297,790.24/410,953.08 = 161,824.16/x
  3. Step 3: Cross multiply
    297,790.24x = 410,953.08 × 161,824.16
  4. Step 4: Simplify right side
    297,790.24x = 66,502,136,970.41
  5. Step 5: Solve for x
    x = 66,502,136,970.41/297,790.24
  6. Step 6: Final answer
    x = 223,318.73

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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.