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Finding the Fourth Proportional to 300,712.50, 414,983.25 and 166,576.50

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Solution

The fourth proportional to 300,712.50, 414,983.25 and 166,576.50 is: 229,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,712.50 : 414,983.25 = 166,576.50 : x
  2. Step 2: Convert to fraction form
    300,712.50/414,983.25 = 166,576.50/x
  3. Step 3: Cross multiply
    300,712.50x = 414,983.25 × 166,576.50
  4. Step 4: Simplify right side
    300,712.50x = 69,126,457,343.63
  5. Step 5: Solve for x
    x = 69,126,457,343.63/300,712.50
  6. Step 6: Final answer
    x = 229,875.57

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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.