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Finding the Fourth Proportional to 457,690.82, 686,536.25 and 177,208.07

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Solution

The fourth proportional to 457,690.82, 686,536.25 and 177,208.07 is: 265,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,690.82 : 686,536.25 = 177,208.07 : x
  2. Step 2: Convert to fraction form
    457,690.82/686,536.25 = 177,208.07/x
  3. Step 3: Cross multiply
    457,690.82x = 686,536.25 × 177,208.07
  4. Step 4: Simplify right side
    457,690.82x = 121,659,759,528.82
  5. Step 5: Solve for x
    x = 121,659,759,528.82/457,690.82
  6. Step 6: Final answer
    x = 265,812.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.