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Finding the Fourth Proportional to 312,510.93, 431,265.20 and 169,270.53

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Solution

The fourth proportional to 312,510.93, 431,265.20 and 169,270.53 is: 233,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,510.93 : 431,265.20 = 169,270.53 : x
  2. Step 2: Convert to fraction form
    312,510.93/431,265.20 = 169,270.53/x
  3. Step 3: Cross multiply
    312,510.93x = 431,265.20 × 169,270.53
  4. Step 4: Simplify right side
    312,510.93x = 73,000,487,896.39
  5. Step 5: Solve for x
    x = 73,000,487,896.39/312,510.93
  6. Step 6: Final answer
    x = 233,593.39

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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.