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Finding the Fourth Proportional to 466,112.44, 643,239.66 and 264,909.88

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Solution

The fourth proportional to 466,112.44, 643,239.66 and 264,909.88 is: 365,578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,112.44 : 643,239.66 = 264,909.88 : x
  2. Step 2: Convert to fraction form
    466,112.44/643,239.66 = 264,909.88/x
  3. Step 3: Cross multiply
    466,112.44x = 643,239.66 × 264,909.88
  4. Step 4: Simplify right side
    466,112.44x = 170,400,541,141.84
  5. Step 5: Solve for x
    x = 170,400,541,141.84/466,112.44
  6. Step 6: Final answer
    x = 365,578.19

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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.