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Finding the Fourth Proportional to 408,852.84, 613,281.56 and 364,081.69

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Solution

The fourth proportional to 408,852.84, 613,281.56 and 364,081.69 is: 546,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,852.84 : 613,281.56 = 364,081.69 : x
  2. Step 2: Convert to fraction form
    408,852.84/613,281.56 = 364,081.69/x
  3. Step 3: Cross multiply
    408,852.84x = 613,281.56 × 364,081.69
  4. Step 4: Simplify right side
    408,852.84x = 223,284,584,990.23
  5. Step 5: Solve for x
    x = 223,284,584,990.23/408,852.84
  6. Step 6: Final answer
    x = 546,124.59

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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.