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Finding the Fourth Proportional to 310,273.44, 465,384.16 and 123,234.72

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Solution

The fourth proportional to 310,273.44, 465,384.16 and 123,234.72 is: 184,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,273.44 : 465,384.16 = 123,234.72 : x
  2. Step 2: Convert to fraction form
    310,273.44/465,384.16 = 123,234.72/x
  3. Step 3: Cross multiply
    310,273.44x = 465,384.16 × 123,234.72
  4. Step 4: Simplify right side
    310,273.44x = 57,351,486,650.04
  5. Step 5: Solve for x
    x = 57,351,486,650.04/310,273.44
  6. Step 6: Final answer
    x = 184,841.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.