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Finding the Fourth Proportional to 407,185.95, 610,532.88 and 182,504.52

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Solution

The fourth proportional to 407,185.95, 610,532.88 and 182,504.52 is: 273,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,185.95 : 610,532.88 = 182,504.52 : x
  2. Step 2: Convert to fraction form
    407,185.95/610,532.88 = 182,504.52/x
  3. Step 3: Cross multiply
    407,185.95x = 610,532.88 × 182,504.52
  4. Step 4: Simplify right side
    407,185.95x = 111,425,010,208.62
  5. Step 5: Solve for x
    x = 111,425,010,208.62/407,185.95
  6. Step 6: Final answer
    x = 273,646.50

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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.