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Finding the Fourth Proportional to 310,901.24, 465,386.49 and 168,392.56

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Solution

The fourth proportional to 310,901.24, 465,386.49 and 168,392.56 is: 252,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,901.24 : 465,386.49 = 168,392.56 : x
  2. Step 2: Convert to fraction form
    310,901.24/465,386.49 = 168,392.56/x
  3. Step 3: Cross multiply
    310,901.24x = 465,386.49 × 168,392.56
  4. Step 4: Simplify right side
    310,901.24x = 78,367,622,440.51
  5. Step 5: Solve for x
    x = 78,367,622,440.51/310,901.24
  6. Step 6: Final answer
    x = 252,065.97

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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.