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Finding the Fourth Proportional to 310,215.92, 465,326.30 and 169,898

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Solution

The fourth proportional to 310,215.92, 465,326.30 and 169,898 is: 254,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,215.92 : 465,326.30 = 169,898 : x
  2. Step 2: Convert to fraction form
    310,215.92/465,326.30 = 169,898/x
  3. Step 3: Cross multiply
    310,215.92x = 465,326.30 × 169,898
  4. Step 4: Simplify right side
    310,215.92x = 79,058,007,717.40
  5. Step 5: Solve for x
    x = 79,058,007,717.40/310,215.92
  6. Step 6: Final answer
    x = 254,848.33

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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.