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Finding the Fourth Proportional to 310,625.72, 465,597.64 and 177,215.04

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Solution

The fourth proportional to 310,625.72, 465,597.64 and 177,215.04 is: 265,628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,625.72 : 465,597.64 = 177,215.04 : x
  2. Step 2: Convert to fraction form
    310,625.72/465,597.64 = 177,215.04/x
  3. Step 3: Cross multiply
    310,625.72x = 465,597.64 × 177,215.04
  4. Step 4: Simplify right side
    310,625.72x = 82,510,904,396.51
  5. Step 5: Solve for x
    x = 82,510,904,396.51/310,625.72
  6. Step 6: Final answer
    x = 265,628.05

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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.