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Finding the Fourth Proportional to 382,470.60, 573,821.10 and 205,062.60

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Solution

The fourth proportional to 382,470.60, 573,821.10 and 205,062.60 is: 307,655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,470.60 : 573,821.10 = 205,062.60 : x
  2. Step 2: Convert to fraction form
    382,470.60/573,821.10 = 205,062.60/x
  3. Step 3: Cross multiply
    382,470.60x = 573,821.10 × 205,062.60
  4. Step 4: Simplify right side
    382,470.60x = 117,669,246,700.86
  5. Step 5: Solve for x
    x = 117,669,246,700.86/382,470.60
  6. Step 6: Final answer
    x = 307,655.66

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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.