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Finding the Fourth Proportional to 416,598.16, 574,905.96 and 225,611.84

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Solution

The fourth proportional to 416,598.16, 574,905.96 and 225,611.84 is: 311,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,598.16 : 574,905.96 = 225,611.84 : x
  2. Step 2: Convert to fraction form
    416,598.16/574,905.96 = 225,611.84/x
  3. Step 3: Cross multiply
    416,598.16x = 574,905.96 × 225,611.84
  4. Step 4: Simplify right side
    416,598.16x = 129,705,591,462.57
  5. Step 5: Solve for x
    x = 129,705,591,462.57/416,598.16
  6. Step 6: Final answer
    x = 311,344.61

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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.