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Finding the Fourth Proportional to 297,706.79, 410,837.34 and 161,740.71

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Solution

The fourth proportional to 297,706.79, 410,837.34 and 161,740.71 is: 223,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,706.79 : 410,837.34 = 161,740.71 : x
  2. Step 2: Convert to fraction form
    297,706.79/410,837.34 = 161,740.71/x
  3. Step 3: Cross multiply
    297,706.79x = 410,837.34 × 161,740.71
  4. Step 4: Simplify right side
    297,706.79x = 66,449,123,066.11
  5. Step 5: Solve for x
    x = 66,449,123,066.11/297,706.79
  6. Step 6: Final answer
    x = 223,203.25

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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.