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Finding the Fourth Proportional to 569,735.76, 854,538.36 and 149,052.24

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Solution

The fourth proportional to 569,735.76, 854,538.36 and 149,052.24 is: 223,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,735.76 : 854,538.36 = 149,052.24 : x
  2. Step 2: Convert to fraction form
    569,735.76/854,538.36 = 149,052.24/x
  3. Step 3: Cross multiply
    569,735.76x = 854,538.36 × 149,052.24
  4. Step 4: Simplify right side
    569,735.76x = 127,370,856,723.93
  5. Step 5: Solve for x
    x = 127,370,856,723.93/569,735.76
  6. Step 6: Final answer
    x = 223,561.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.