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Finding the Fourth Proportional to 391,122.21, 539,748.86 and 212,274.21

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Solution

The fourth proportional to 391,122.21, 539,748.86 and 212,274.21 is: 292,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,122.21 : 539,748.86 = 212,274.21 : x
  2. Step 2: Convert to fraction form
    391,122.21/539,748.86 = 212,274.21/x
  3. Step 3: Cross multiply
    391,122.21x = 539,748.86 × 212,274.21
  4. Step 4: Simplify right side
    391,122.21x = 114,574,762,854.90
  5. Step 5: Solve for x
    x = 114,574,762,854.90/391,122.21
  6. Step 6: Final answer
    x = 292,938.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.