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Finding the Fourth Proportional to 257,209.68, 355,042.44 and 209,379.99

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Solution

The fourth proportional to 257,209.68, 355,042.44 and 209,379.99 is: 289,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,209.68 : 355,042.44 = 209,379.99 : x
  2. Step 2: Convert to fraction form
    257,209.68/355,042.44 = 209,379.99/x
  3. Step 3: Cross multiply
    257,209.68x = 355,042.44 × 209,379.99
  4. Step 4: Simplify right side
    257,209.68x = 74,338,782,536.78
  5. Step 5: Solve for x
    x = 74,338,782,536.78/257,209.68
  6. Step 6: Final answer
    x = 289,020.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.