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Finding the Fourth Proportional to 300,674.96, 414,931.54 and 164,713.80

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Solution

The fourth proportional to 300,674.96, 414,931.54 and 164,713.80 is: 227,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,674.96 : 414,931.54 = 164,713.80 : x
  2. Step 2: Convert to fraction form
    300,674.96/414,931.54 = 164,713.80/x
  3. Step 3: Cross multiply
    300,674.96x = 414,931.54 × 164,713.80
  4. Step 4: Simplify right side
    300,674.96x = 68,344,950,693.25
  5. Step 5: Solve for x
    x = 68,344,950,693.25/300,674.96
  6. Step 6: Final answer
    x = 227,305.10

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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.