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Finding the Fourth Proportional to 396,212.88, 546,771.42 and 214,925.16

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Solution

The fourth proportional to 396,212.88, 546,771.42 and 214,925.16 is: 296,595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,212.88 : 546,771.42 = 214,925.16 : x
  2. Step 2: Convert to fraction form
    396,212.88/546,771.42 = 214,925.16/x
  3. Step 3: Cross multiply
    396,212.88x = 546,771.42 × 214,925.16
  4. Step 4: Simplify right side
    396,212.88x = 117,514,934,926.93
  5. Step 5: Solve for x
    x = 117,514,934,926.93/396,212.88
  6. Step 6: Final answer
    x = 296,595.44

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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.