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Finding the Fourth Proportional to 408,852.33, 613,280.81 and 364,081.19

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Solution

The fourth proportional to 408,852.33, 613,280.81 and 364,081.19 is: 546,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,852.33 : 613,280.81 = 364,081.19 : x
  2. Step 2: Convert to fraction form
    408,852.33/613,280.81 = 364,081.19/x
  3. Step 3: Cross multiply
    408,852.33x = 613,280.81 × 364,081.19
  4. Step 4: Simplify right side
    408,852.33x = 223,284,006,704.95
  5. Step 5: Solve for x
    x = 223,284,006,704.95/408,852.33
  6. Step 6: Final answer
    x = 546,123.84

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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.