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Finding the Fourth Proportional to 411,538.26, 567,730.98 and 266,390.87

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Solution

The fourth proportional to 411,538.26, 567,730.98 and 266,390.87 is: 367,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,538.26 : 567,730.98 = 266,390.87 : x
  2. Step 2: Convert to fraction form
    411,538.26/567,730.98 = 266,390.87/x
  3. Step 3: Cross multiply
    411,538.26x = 567,730.98 × 266,390.87
  4. Step 4: Simplify right side
    411,538.26x = 151,238,345,517.54
  5. Step 5: Solve for x
    x = 151,238,345,517.54/411,538.26
  6. Step 6: Final answer
    x = 367,495.23

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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.