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Finding the Fourth Proportional to 411,309.77, 567,636.41 and 230,038.57

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Solution

The fourth proportional to 411,309.77, 567,636.41 and 230,038.57 is: 317,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,309.77 : 567,636.41 = 230,038.57 : x
  2. Step 2: Convert to fraction form
    411,309.77/567,636.41 = 230,038.57/x
  3. Step 3: Cross multiply
    411,309.77x = 567,636.41 × 230,038.57
  4. Step 4: Simplify right side
    411,309.77x = 130,578,268,036.33
  5. Step 5: Solve for x
    x = 130,578,268,036.33/411,309.77
  6. Step 6: Final answer
    x = 317,469.41

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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.