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Finding the Fourth Proportional to 411,114.26, 567,341.88 and 229,836.26

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Solution

The fourth proportional to 411,114.26, 567,341.88 and 229,836.26 is: 317,176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,114.26 : 567,341.88 = 229,836.26 : x
  2. Step 2: Convert to fraction form
    411,114.26/567,341.88 = 229,836.26/x
  3. Step 3: Cross multiply
    411,114.26x = 567,341.88 × 229,836.26
  4. Step 4: Simplify right side
    411,114.26x = 130,395,735,840.57
  5. Step 5: Solve for x
    x = 130,395,735,840.57/411,114.26
  6. Step 6: Final answer
    x = 317,176.39

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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.