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Finding the Fourth Proportional to 582,196.21, 872,998.90 and 266,382.47

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Solution

The fourth proportional to 582,196.21, 872,998.90 and 266,382.47 is: 399,438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,196.21 : 872,998.90 = 266,382.47 : x
  2. Step 2: Convert to fraction form
    582,196.21/872,998.90 = 266,382.47/x
  3. Step 3: Cross multiply
    582,196.21x = 872,998.90 × 266,382.47
  4. Step 4: Simplify right side
    582,196.21x = 232,551,604,805.82
  5. Step 5: Solve for x
    x = 232,551,604,805.82/582,196.21
  6. Step 6: Final answer
    x = 399,438.54

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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.