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Finding the Fourth Proportional to 416,880.25, 575,296.74 and 225,893.98

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Solution

The fourth proportional to 416,880.25, 575,296.74 and 225,893.98 is: 311,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,880.25 : 575,296.74 = 225,893.98 : x
  2. Step 2: Convert to fraction form
    416,880.25/575,296.74 = 225,893.98/x
  3. Step 3: Cross multiply
    416,880.25x = 575,296.74 × 225,893.98
  4. Step 4: Simplify right side
    416,880.25x = 129,956,070,279.63
  5. Step 5: Solve for x
    x = 129,956,070,279.63/416,880.25
  6. Step 6: Final answer
    x = 311,734.77

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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.