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Finding the Fourth Proportional to 312,670.53, 467,884.67 and 270,695.03

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Solution

The fourth proportional to 312,670.53, 467,884.67 and 270,695.03 is: 405,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,670.53 : 467,884.67 = 270,695.03 : x
  2. Step 2: Convert to fraction form
    312,670.53/467,884.67 = 270,695.03/x
  3. Step 3: Cross multiply
    312,670.53x = 467,884.67 × 270,695.03
  4. Step 4: Simplify right side
    312,670.53x = 126,654,051,089.29
  5. Step 5: Solve for x
    x = 126,654,051,089.29/312,670.53
  6. Step 6: Final answer
    x = 405,071.92

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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.