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Finding the Fourth Proportional to 408,656.44, 612,978.50 and 183,858.13

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Solution

The fourth proportional to 408,656.44, 612,978.50 and 183,858.13 is: 275,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,656.44 : 612,978.50 = 183,858.13 : x
  2. Step 2: Convert to fraction form
    408,656.44/612,978.50 = 183,858.13/x
  3. Step 3: Cross multiply
    408,656.44x = 612,978.50 × 183,858.13
  4. Step 4: Simplify right side
    408,656.44x = 112,701,078,288.47
  5. Step 5: Solve for x
    x = 112,701,078,288.47/408,656.44
  6. Step 6: Final answer
    x = 275,784.42

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