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Finding the Fourth Proportional to 297,706.16, 410,836.48 and 161,740.08

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Solution

The fourth proportional to 297,706.16, 410,836.48 and 161,740.08 is: 223,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,706.16 : 410,836.48 = 161,740.08 : x
  2. Step 2: Convert to fraction form
    297,706.16/410,836.48 = 161,740.08/x
  3. Step 3: Cross multiply
    297,706.16x = 410,836.48 × 161,740.08
  4. Step 4: Simplify right side
    297,706.16x = 66,448,724,737.77
  5. Step 5: Solve for x
    x = 66,448,724,737.77/297,706.16
  6. Step 6: Final answer
    x = 223,202.38

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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.