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Finding the Fourth Proportional to 416,266.50, 574,447.82 and 225,279.89

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Solution

The fourth proportional to 416,266.50, 574,447.82 and 225,279.89 is: 310,886.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,266.50 : 574,447.82 = 225,279.89 : x
  2. Step 2: Convert to fraction form
    416,266.50/574,447.82 = 225,279.89/x
  3. Step 3: Cross multiply
    416,266.50x = 574,447.82 × 225,279.89
  4. Step 4: Simplify right side
    416,266.50x = 129,411,539,137.82
  5. Step 5: Solve for x
    x = 129,411,539,137.82/416,266.50
  6. Step 6: Final answer
    x = 310,886.27

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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.