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Finding the Fourth Proportional to 565,204.32, 848,136.96 and 210,469.68

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Solution

The fourth proportional to 565,204.32, 848,136.96 and 210,469.68 is: 315,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,204.32 : 848,136.96 = 210,469.68 : x
  2. Step 2: Convert to fraction form
    565,204.32/848,136.96 = 210,469.68/x
  3. Step 3: Cross multiply
    565,204.32x = 848,136.96 × 210,469.68
  4. Step 4: Simplify right side
    565,204.32x = 178,507,114,567.37
  5. Step 5: Solve for x
    x = 178,507,114,567.37/565,204.32
  6. Step 6: Final answer
    x = 315,827.58

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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.