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Finding the Fourth Proportional to 294,311.80, 441,467.70 and 116,727.40

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Solution

The fourth proportional to 294,311.80, 441,467.70 and 116,727.40 is: 175,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,311.80 : 441,467.70 = 116,727.40 : x
  2. Step 2: Convert to fraction form
    294,311.80/441,467.70 = 116,727.40/x
  3. Step 3: Cross multiply
    294,311.80x = 441,467.70 × 116,727.40
  4. Step 4: Simplify right side
    294,311.80x = 51,531,376,804.98
  5. Step 5: Solve for x
    x = 51,531,376,804.98/294,311.80
  6. Step 6: Final answer
    x = 175,091.10

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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.