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Finding the Fourth Proportional to 411,478.94, 567,827.75 and 230,186.97

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Solution

The fourth proportional to 411,478.94, 567,827.75 and 230,186.97 is: 317,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,478.94 : 567,827.75 = 230,186.97 : x
  2. Step 2: Convert to fraction form
    411,478.94/567,827.75 = 230,186.97/x
  3. Step 3: Cross multiply
    411,478.94x = 567,827.75 × 230,186.97
  4. Step 4: Simplify right side
    411,478.94x = 130,706,546,415.28
  5. Step 5: Solve for x
    x = 130,706,546,415.28/411,478.94
  6. Step 6: Final answer
    x = 317,650.64

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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.