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Finding the Fourth Proportional to 297,179, 410,114.22 and 163,043

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Solution

The fourth proportional to 297,179, 410,114.22 and 163,043 is: 225,003.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,179 : 410,114.22 = 163,043 : x
  2. Step 2: Convert to fraction form
    297,179/410,114.22 = 163,043/x
  3. Step 3: Cross multiply
    297,179x = 410,114.22 × 163,043
  4. Step 4: Simplify right side
    297,179x = 66,866,252,771.46
  5. Step 5: Solve for x
    x = 66,866,252,771.46/297,179
  6. Step 6: Final answer
    x = 225,003.29

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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.