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Finding the Fourth Proportional to 296,028, 408,528.36 and 161,892

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Solution

The fourth proportional to 296,028, 408,528.36 and 161,892 is: 223,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,028 : 408,528.36 = 161,892 : x
  2. Step 2: Convert to fraction form
    296,028/408,528.36 = 161,892/x
  3. Step 3: Cross multiply
    296,028x = 408,528.36 × 161,892
  4. Step 4: Simplify right side
    296,028x = 66,137,473,257.12
  5. Step 5: Solve for x
    x = 66,137,473,257.12/296,028
  6. Step 6: Final answer
    x = 223,416.28

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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.