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Finding the Fourth Proportional to 300,602.00, 414,833.54 and 205,106.65

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Solution

The fourth proportional to 300,602.00, 414,833.54 and 205,106.65 is: 283,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,602.00 : 414,833.54 = 205,106.65 : x
  2. Step 2: Convert to fraction form
    300,602.00/414,833.54 = 205,106.65/x
  3. Step 3: Cross multiply
    300,602.00x = 414,833.54 × 205,106.65
  4. Step 4: Simplify right side
    300,602.00x = 85,085,115,634.42
  5. Step 5: Solve for x
    x = 85,085,115,634.42/300,602.00
  6. Step 6: Final answer
    x = 283,049.06

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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.