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Finding the Fourth Proportional to 567,196.68, 782,723.16 and 325,473.96

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Solution

The fourth proportional to 567,196.68, 782,723.16 and 325,473.96 is: 449,149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,196.68 : 782,723.16 = 325,473.96 : x
  2. Step 2: Convert to fraction form
    567,196.68/782,723.16 = 325,473.96/x
  3. Step 3: Cross multiply
    567,196.68x = 782,723.16 × 325,473.96
  4. Step 4: Simplify right side
    567,196.68x = 254,756,006,468.91
  5. Step 5: Solve for x
    x = 254,756,006,468.91/567,196.68
  6. Step 6: Final answer
    x = 449,149.33

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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.