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Finding the Fourth Proportional to 300,493.89, 414,681.60 and 164,527.86

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Solution

The fourth proportional to 300,493.89, 414,681.60 and 164,527.86 is: 227,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,493.89 : 414,681.60 = 164,527.86 : x
  2. Step 2: Convert to fraction form
    300,493.89/414,681.60 = 164,527.86/x
  3. Step 3: Cross multiply
    300,493.89x = 414,681.60 × 164,527.86
  4. Step 4: Simplify right side
    300,493.89x = 68,226,676,229.38
  5. Step 5: Solve for x
    x = 68,226,676,229.38/300,493.89
  6. Step 6: Final answer
    x = 227,048.46

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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.