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Finding the Fourth Proportional to 396,021.96, 546,509.72 and 214,733.56

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Solution

The fourth proportional to 396,021.96, 546,509.72 and 214,733.56 is: 296,332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,021.96 : 546,509.72 = 214,733.56 : x
  2. Step 2: Convert to fraction form
    396,021.96/546,509.72 = 214,733.56/x
  3. Step 3: Cross multiply
    396,021.96x = 546,509.72 × 214,733.56
  4. Step 4: Simplify right side
    396,021.96x = 117,353,977,750.20
  5. Step 5: Solve for x
    x = 117,353,977,750.20/396,021.96
  6. Step 6: Final answer
    x = 296,332.00

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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.