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Finding the Fourth Proportional to 469,364.49, 647,736.01 and 265,446.05

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Solution

The fourth proportional to 469,364.49, 647,736.01 and 265,446.05 is: 366,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,364.49 : 647,736.01 = 265,446.05 : x
  2. Step 2: Convert to fraction form
    469,364.49/647,736.01 = 265,446.05/x
  3. Step 3: Cross multiply
    469,364.49x = 647,736.01 × 265,446.05
  4. Step 4: Simplify right side
    469,364.49x = 171,938,961,394.97
  5. Step 5: Solve for x
    x = 171,938,961,394.97/469,364.49
  6. Step 6: Final answer
    x = 366,322.90

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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.