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Finding the Fourth Proportional to 471,702.88, 650,941.54 and 256,839.04

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Solution

The fourth proportional to 471,702.88, 650,941.54 and 256,839.04 is: 354,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,702.88 : 650,941.54 = 256,839.04 : x
  2. Step 2: Convert to fraction form
    471,702.88/650,941.54 = 256,839.04/x
  3. Step 3: Cross multiply
    471,702.88x = 650,941.54 × 256,839.04
  4. Step 4: Simplify right side
    471,702.88x = 167,187,200,229.72
  5. Step 5: Solve for x
    x = 167,187,200,229.72/471,702.88
  6. Step 6: Final answer
    x = 354,433.28

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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.