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Finding the Fourth Proportional to 294,715.80, 441,409.02 and 206,363.74

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Solution

The fourth proportional to 294,715.80, 441,409.02 and 206,363.74 is: 309,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,715.80 : 441,409.02 = 206,363.74 : x
  2. Step 2: Convert to fraction form
    294,715.80/441,409.02 = 206,363.74/x
  3. Step 3: Cross multiply
    294,715.80x = 441,409.02 × 206,363.74
  4. Step 4: Simplify right side
    294,715.80x = 91,090,816,236.93
  5. Step 5: Solve for x
    x = 91,090,816,236.93/294,715.80
  6. Step 6: Final answer
    x = 309,080.19

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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.