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Finding the Fourth Proportional to 456,117.81, 629,542.49 and 265,241.31

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Solution

The fourth proportional to 456,117.81, 629,542.49 and 265,241.31 is: 366,091.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,117.81 : 629,542.49 = 265,241.31 : x
  2. Step 2: Convert to fraction form
    456,117.81/629,542.49 = 265,241.31/x
  3. Step 3: Cross multiply
    456,117.81x = 629,542.49 × 265,241.31
  4. Step 4: Simplify right side
    456,117.81x = 166,980,674,748.26
  5. Step 5: Solve for x
    x = 166,980,674,748.26/456,117.81
  6. Step 6: Final answer
    x = 366,091.11

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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.