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Finding the Fourth Proportional to 343,894.60, 515,841.90 and 320,566.60

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Solution

The fourth proportional to 343,894.60, 515,841.90 and 320,566.60 is: 480,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,894.60 : 515,841.90 = 320,566.60 : x
  2. Step 2: Convert to fraction form
    343,894.60/515,841.90 = 320,566.60/x
  3. Step 3: Cross multiply
    343,894.60x = 515,841.90 × 320,566.60
  4. Step 4: Simplify right side
    343,894.60x = 165,361,684,020.54
  5. Step 5: Solve for x
    x = 165,361,684,020.54/343,894.60
  6. Step 6: Final answer
    x = 480,849.90

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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.