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Finding the Fourth Proportional to 396,149.86, 546,685.95 and 214,860.85

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Solution

The fourth proportional to 396,149.86, 546,685.95 and 214,860.85 is: 296,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,149.86 : 546,685.95 = 214,860.85 : x
  2. Step 2: Convert to fraction form
    396,149.86/546,685.95 = 214,860.85/x
  3. Step 3: Cross multiply
    396,149.86x = 546,685.95 × 214,860.85
  4. Step 4: Simplify right side
    396,149.86x = 117,461,407,900.06
  5. Step 5: Solve for x
    x = 117,461,407,900.06/396,149.86
  6. Step 6: Final answer
    x = 296,507.51

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1.5x scale

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.