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Finding the Fourth Proportional to 569,568.16, 854,322.64 and 170,212.16

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Solution

The fourth proportional to 569,568.16, 854,322.64 and 170,212.16 is: 255,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,568.16 : 854,322.64 = 170,212.16 : x
  2. Step 2: Convert to fraction form
    569,568.16/854,322.64 = 170,212.16/x
  3. Step 3: Cross multiply
    569,568.16x = 854,322.64 × 170,212.16
  4. Step 4: Simplify right side
    569,568.16x = 145,416,101,891.30
  5. Step 5: Solve for x
    x = 145,416,101,891.30/569,568.16
  6. Step 6: Final answer
    x = 255,309.39

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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.