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Finding the Fourth Proportional to 300,307.91, 414,424.79 and 164,341.85

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Solution

The fourth proportional to 300,307.91, 414,424.79 and 164,341.85 is: 226,791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,307.91 : 414,424.79 = 164,341.85 : x
  2. Step 2: Convert to fraction form
    300,307.91/414,424.79 = 164,341.85/x
  3. Step 3: Cross multiply
    300,307.91x = 414,424.79 × 164,341.85
  4. Step 4: Simplify right side
    300,307.91x = 68,107,334,396.91
  5. Step 5: Solve for x
    x = 68,107,334,396.91/300,307.91
  6. Step 6: Final answer
    x = 226,791.68

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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.