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Finding the Fourth Proportional to 312,301.31, 430,975.31 and 169,061.31

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Solution

The fourth proportional to 312,301.31, 430,975.31 and 169,061.31 is: 233,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,301.31 : 430,975.31 = 169,061.31 : x
  2. Step 2: Convert to fraction form
    312,301.31/430,975.31 = 169,061.31/x
  3. Step 3: Cross multiply
    312,301.31x = 430,975.31 × 169,061.31
  4. Step 4: Simplify right side
    312,301.31x = 72,861,249,640.95
  5. Step 5: Solve for x
    x = 72,861,249,640.95/312,301.31
  6. Step 6: Final answer
    x = 233,304.34

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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.