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Finding the Fourth Proportional to 294,197.50, 441,296.27 and 205,624

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Solution

The fourth proportional to 294,197.50, 441,296.27 and 205,624 is: 308,436.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,197.50 : 441,296.27 = 205,624 : x
  2. Step 2: Convert to fraction form
    294,197.50/441,296.27 = 205,624/x
  3. Step 3: Cross multiply
    294,197.50x = 441,296.27 × 205,624
  4. Step 4: Simplify right side
    294,197.50x = 90,741,104,222.48
  5. Step 5: Solve for x
    x = 90,741,104,222.48/294,197.50
  6. Step 6: Final answer
    x = 308,436.01

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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.