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Finding the Fourth Proportional to 416,084.87, 574,211.75 and 234,786.21

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Solution

The fourth proportional to 416,084.87, 574,211.75 and 234,786.21 is: 324,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,084.87 : 574,211.75 = 234,786.21 : x
  2. Step 2: Convert to fraction form
    416,084.87/574,211.75 = 234,786.21/x
  3. Step 3: Cross multiply
    416,084.87x = 574,211.75 × 234,786.21
  4. Step 4: Simplify right side
    416,084.87x = 134,816,999,346.04
  5. Step 5: Solve for x
    x = 134,816,999,346.04/416,084.87
  6. Step 6: Final answer
    x = 324,013.23

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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.