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Finding the Fourth Proportional to 408,208.48, 612,102.83 and 183,376.07

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Solution

The fourth proportional to 408,208.48, 612,102.83 and 183,376.07 is: 274,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,208.48 : 612,102.83 = 183,376.07 : x
  2. Step 2: Convert to fraction form
    408,208.48/612,102.83 = 183,376.07/x
  3. Step 3: Cross multiply
    408,208.48x = 612,102.83 × 183,376.07
  4. Step 4: Simplify right side
    408,208.48x = 112,245,009,719.27
  5. Step 5: Solve for x
    x = 112,245,009,719.27/408,208.48
  6. Step 6: Final answer
    x = 274,969.82

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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.