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Finding the Fourth Proportional to 300,115.80, 414,195.53 and 172,816.20

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Solution

The fourth proportional to 300,115.80, 414,195.53 and 172,816.20 is: 238,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,115.80 : 414,195.53 = 172,816.20 : x
  2. Step 2: Convert to fraction form
    300,115.80/414,195.53 = 172,816.20/x
  3. Step 3: Cross multiply
    300,115.80x = 414,195.53 × 172,816.20
  4. Step 4: Simplify right side
    300,115.80x = 71,579,696,687.51
  5. Step 5: Solve for x
    x = 71,579,696,687.51/300,115.80
  6. Step 6: Final answer
    x = 238,506.93

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1.5x scale

Why These Related Problems?

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