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Finding the Fourth Proportional to 297,706.29, 410,836.65 and 161,740.21

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Solution

The fourth proportional to 297,706.29, 410,836.65 and 161,740.21 is: 223,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,706.29 : 410,836.65 = 161,740.21 : x
  2. Step 2: Convert to fraction form
    297,706.29/410,836.65 = 161,740.21/x
  3. Step 3: Cross multiply
    297,706.29x = 410,836.65 × 161,740.21
  4. Step 4: Simplify right side
    297,706.29x = 66,448,803,992.51
  5. Step 5: Solve for x
    x = 66,448,803,992.51/297,706.29
  6. Step 6: Final answer
    x = 223,202.55

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1.5x scale

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.