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Finding the Fourth Proportional to 532,409.18, 796,188.09 and 397,567.94

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Solution

The fourth proportional to 532,409.18, 796,188.09 and 397,567.94 is: 594,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,409.18 : 796,188.09 = 397,567.94 : x
  2. Step 2: Convert to fraction form
    532,409.18/796,188.09 = 397,567.94/x
  3. Step 3: Cross multiply
    532,409.18x = 796,188.09 × 397,567.94
  4. Step 4: Simplify right side
    532,409.18x = 316,538,858,793.84
  5. Step 5: Solve for x
    x = 316,538,858,793.84/532,409.18
  6. Step 6: Final answer
    x = 594,540.57

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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.