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Finding the Fourth Proportional to 411,391.33, 567,772.61 and 230,113.33

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Solution

The fourth proportional to 411,391.33, 567,772.61 and 230,113.33 is: 317,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,391.33 : 567,772.61 = 230,113.33 : x
  2. Step 2: Convert to fraction form
    411,391.33/567,772.61 = 230,113.33/x
  3. Step 3: Cross multiply
    411,391.33x = 567,772.61 × 230,113.33
  4. Step 4: Simplify right side
    411,391.33x = 130,652,045,969.89
  5. Step 5: Solve for x
    x = 130,652,045,969.89/411,391.33
  6. Step 6: Final answer
    x = 317,585.80

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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.