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Finding the Fourth Proportional to 300,549.96, 414,759.08 and 164,592.38

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Solution

The fourth proportional to 300,549.96, 414,759.08 and 164,592.38 is: 227,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,549.96 : 414,759.08 = 164,592.38 : x
  2. Step 2: Convert to fraction form
    300,549.96/414,759.08 = 164,592.38/x
  3. Step 3: Cross multiply
    300,549.96x = 414,759.08 × 164,592.38
  4. Step 4: Simplify right side
    300,549.96x = 68,266,184,103.81
  5. Step 5: Solve for x
    x = 68,266,184,103.81/300,549.96
  6. Step 6: Final answer
    x = 227,137.56

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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.