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Finding the Fourth Proportional to 386,209.86, 533,001.02 and 214,144.91

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Solution

The fourth proportional to 386,209.86, 533,001.02 and 214,144.91 is: 295,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,209.86 : 533,001.02 = 214,144.91 : x
  2. Step 2: Convert to fraction form
    386,209.86/533,001.02 = 214,144.91/x
  3. Step 3: Cross multiply
    386,209.86x = 533,001.02 × 214,144.91
  4. Step 4: Simplify right side
    386,209.86x = 114,139,451,722.08
  5. Step 5: Solve for x
    x = 114,139,451,722.08/386,209.86
  6. Step 6: Final answer
    x = 295,537.38

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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.