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Finding the Fourth Proportional to 408,009.96, 611,779.50 and 158,400.36

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Solution

The fourth proportional to 408,009.96, 611,779.50 and 158,400.36 is: 237,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,009.96 : 611,779.50 = 158,400.36 : x
  2. Step 2: Convert to fraction form
    408,009.96/611,779.50 = 158,400.36/x
  3. Step 3: Cross multiply
    408,009.96x = 611,779.50 × 158,400.36
  4. Step 4: Simplify right side
    408,009.96x = 96,906,093,040.62
  5. Step 5: Solve for x
    x = 96,906,093,040.62/408,009.96
  6. Step 6: Final answer
    x = 237,509.14

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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.