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Finding the Fourth Proportional to 297,033.30, 409,927.68 and 169,706.16

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Solution

The fourth proportional to 297,033.30, 409,927.68 and 169,706.16 is: 234,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,033.30 : 409,927.68 = 169,706.16 : x
  2. Step 2: Convert to fraction form
    297,033.30/409,927.68 = 169,706.16/x
  3. Step 3: Cross multiply
    297,033.30x = 409,927.68 × 169,706.16
  4. Step 4: Simplify right side
    297,033.30x = 69,567,252,450.51
  5. Step 5: Solve for x
    x = 69,567,252,450.51/297,033.30
  6. Step 6: Final answer
    x = 234,206.91

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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.