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Finding the Fourth Proportional to 408,779.15, 613,143.47 and 152,561.84

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Solution

The fourth proportional to 408,779.15, 613,143.47 and 152,561.84 is: 228,833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,779.15 : 613,143.47 = 152,561.84 : x
  2. Step 2: Convert to fraction form
    408,779.15/613,143.47 = 152,561.84/x
  3. Step 3: Cross multiply
    408,779.15x = 613,143.47 × 152,561.84
  4. Step 4: Simplify right side
    408,779.15x = 93,542,293,282.87
  5. Step 5: Solve for x
    x = 93,542,293,282.87/408,779.15
  6. Step 6: Final answer
    x = 228,833.33

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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.