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Finding the Fourth Proportional to 300,823.26, 415,118.07 and 164,830.14

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Solution

The fourth proportional to 300,823.26, 415,118.07 and 164,830.14 is: 227,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,823.26 : 415,118.07 = 164,830.14 : x
  2. Step 2: Convert to fraction form
    300,823.26/415,118.07 = 164,830.14/x
  3. Step 3: Cross multiply
    300,823.26x = 415,118.07 × 164,830.14
  4. Step 4: Simplify right side
    300,823.26x = 68,423,969,594.63
  5. Step 5: Solve for x
    x = 68,423,969,594.63/300,823.26
  6. Step 6: Final answer
    x = 227,455.71

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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.