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Finding the Fourth Proportional to 415,505.44, 573,400 and 262,611.36

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Solution

The fourth proportional to 415,505.44, 573,400 and 262,611.36 is: 362,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,505.44 : 573,400 = 262,611.36 : x
  2. Step 2: Convert to fraction form
    415,505.44/573,400 = 262,611.36/x
  3. Step 3: Cross multiply
    415,505.44x = 573,400 × 262,611.36
  4. Step 4: Simplify right side
    415,505.44x = 150,581,353,824
  5. Step 5: Solve for x
    x = 150,581,353,824/415,505.44
  6. Step 6: Final answer
    x = 362,405.25

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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.