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Finding the Fourth Proportional to 565,511.36, 848,543.76 and 266,022.16

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Solution

The fourth proportional to 565,511.36, 848,543.76 and 266,022.16 is: 399,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,511.36 : 848,543.76 = 266,022.16 : x
  2. Step 2: Convert to fraction form
    565,511.36/848,543.76 = 266,022.16/x
  3. Step 3: Cross multiply
    565,511.36x = 848,543.76 × 266,022.16
  4. Step 4: Simplify right side
    565,511.36x = 225,731,443,889.72
  5. Step 5: Solve for x
    x = 225,731,443,889.72/565,511.36
  6. Step 6: Final answer
    x = 399,163.41

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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.