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Finding the Fourth Proportional to 305,907.84, 422,293.91 and 183,458.52

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Solution

The fourth proportional to 305,907.84, 422,293.91 and 183,458.52 is: 253,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,907.84 : 422,293.91 = 183,458.52 : x
  2. Step 2: Convert to fraction form
    305,907.84/422,293.91 = 183,458.52/x
  3. Step 3: Cross multiply
    305,907.84x = 422,293.91 × 183,458.52
  4. Step 4: Simplify right side
    305,907.84x = 77,473,414,816.32
  5. Step 5: Solve for x
    x = 77,473,414,816.32/305,907.84
  6. Step 6: Final answer
    x = 253,257.37

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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.