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Finding the Fourth Proportional to 300,294.68, 414,406.69 and 164,328.65

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Solution

The fourth proportional to 300,294.68, 414,406.69 and 164,328.65 is: 226,773.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,294.68 : 414,406.69 = 164,328.65 : x
  2. Step 2: Convert to fraction form
    300,294.68/414,406.69 = 164,328.65/x
  3. Step 3: Cross multiply
    300,294.68x = 414,406.69 × 164,328.65
  4. Step 4: Simplify right side
    300,294.68x = 68,098,890,989.84
  5. Step 5: Solve for x
    x = 68,098,890,989.84/300,294.68
  6. Step 6: Final answer
    x = 226,773.55

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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.