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Finding the Fourth Proportional to 411,037.55, 567,243.76 and 224,779.96

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Solution

The fourth proportional to 411,037.55, 567,243.76 and 224,779.96 is: 310,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,037.55 : 567,243.76 = 224,779.96 : x
  2. Step 2: Convert to fraction form
    411,037.55/567,243.76 = 224,779.96/x
  3. Step 3: Cross multiply
    411,037.55x = 567,243.76 × 224,779.96
  4. Step 4: Simplify right side
    411,037.55x = 127,505,029,683.05
  5. Step 5: Solve for x
    x = 127,505,029,683.05/411,037.55
  6. Step 6: Final answer
    x = 310,202.87

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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.