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Finding the Fourth Proportional to 411,282.60, 616,002.30 and 214,060.20

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Solution

The fourth proportional to 411,282.60, 616,002.30 and 214,060.20 is: 320,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,282.60 : 616,002.30 = 214,060.20 : x
  2. Step 2: Convert to fraction form
    411,282.60/616,002.30 = 214,060.20/x
  3. Step 3: Cross multiply
    411,282.60x = 616,002.30 × 214,060.20
  4. Step 4: Simplify right side
    411,282.60x = 131,861,575,538.46
  5. Step 5: Solve for x
    x = 131,861,575,538.46/411,282.60
  6. Step 6: Final answer
    x = 320,610.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.