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Finding the Fourth Proportional to 301,934.44, 452,921.10 and 177,013

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Solution

The fourth proportional to 301,934.44, 452,921.10 and 177,013 is: 265,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,934.44 : 452,921.10 = 177,013 : x
  2. Step 2: Convert to fraction form
    301,934.44/452,921.10 = 177,013/x
  3. Step 3: Cross multiply
    301,934.44x = 452,921.10 × 177,013
  4. Step 4: Simplify right side
    301,934.44x = 80,172,922,674.30
  5. Step 5: Solve for x
    x = 80,172,922,674.30/301,934.44
  6. Step 6: Final answer
    x = 265,530.90

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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.