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Finding the Fourth Proportional to 257,210.68, 355,043.82 and 209,380.99

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Solution

The fourth proportional to 257,210.68, 355,043.82 and 209,380.99 is: 289,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,210.68 : 355,043.82 = 209,380.99 : x
  2. Step 2: Convert to fraction form
    257,210.68/355,043.82 = 209,380.99/x
  3. Step 3: Cross multiply
    257,210.68x = 355,043.82 × 209,380.99
  4. Step 4: Simplify right side
    257,210.68x = 74,339,426,524.98
  5. Step 5: Solve for x
    x = 74,339,426,524.98/257,210.68
  6. Step 6: Final answer
    x = 289,021.54

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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.