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Finding the Fourth Proportional to 532,836.32, 798,735 and 212,892.80

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Solution

The fourth proportional to 532,836.32, 798,735 and 212,892.80 is: 319,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,836.32 : 798,735 = 212,892.80 : x
  2. Step 2: Convert to fraction form
    532,836.32/798,735 = 212,892.80/x
  3. Step 3: Cross multiply
    532,836.32x = 798,735 × 212,892.80
  4. Step 4: Simplify right side
    532,836.32x = 170,044,930,608
  5. Step 5: Solve for x
    x = 170,044,930,608/532,836.32
  6. Step 6: Final answer
    x = 319,131.64

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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.