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Finding the Fourth Proportional to 408,657.50, 613,009.30 and 124,357.31

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Solution

The fourth proportional to 408,657.50, 613,009.30 and 124,357.31 is: 186,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,657.50 : 613,009.30 = 124,357.31 : x
  2. Step 2: Convert to fraction form
    408,657.50/613,009.30 = 124,357.31/x
  3. Step 3: Cross multiply
    408,657.50x = 613,009.30 × 124,357.31
  4. Step 4: Simplify right side
    408,657.50x = 76,232,190,157.18
  5. Step 5: Solve for x
    x = 76,232,190,157.18/408,657.50
  6. Step 6: Final answer
    x = 186,542.99

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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.