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Finding the Fourth Proportional to 231,834.60, 347,095.80 and 205,590.60

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Solution

The fourth proportional to 231,834.60, 347,095.80 and 205,590.60 is: 307,804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,834.60 : 347,095.80 = 205,590.60 : x
  2. Step 2: Convert to fraction form
    231,834.60/347,095.80 = 205,590.60/x
  3. Step 3: Cross multiply
    231,834.60x = 347,095.80 × 205,590.60
  4. Step 4: Simplify right side
    231,834.60x = 71,359,633,779.48
  5. Step 5: Solve for x
    x = 71,359,633,779.48/231,834.60
  6. Step 6: Final answer
    x = 307,804.07

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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.