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Finding the Fourth Proportional to 386,648.14, 533,560.50 and 214,573.64

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Solution

The fourth proportional to 386,648.14, 533,560.50 and 214,573.64 is: 296,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,648.14 : 533,560.50 = 214,573.64 : x
  2. Step 2: Convert to fraction form
    386,648.14/533,560.50 = 214,573.64/x
  3. Step 3: Cross multiply
    386,648.14x = 533,560.50 × 214,573.64
  4. Step 4: Simplify right side
    386,648.14x = 114,488,018,645.22
  5. Step 5: Solve for x
    x = 114,488,018,645.22/386,648.14
  6. Step 6: Final answer
    x = 296,103.89

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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.