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Finding the Fourth Proportional to 310,897.73, 465,381.24 and 168,389.06

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Solution

The fourth proportional to 310,897.73, 465,381.24 and 168,389.06 is: 252,060.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,897.73 : 465,381.24 = 168,389.06 : x
  2. Step 2: Convert to fraction form
    310,897.73/465,381.24 = 168,389.06/x
  3. Step 3: Cross multiply
    310,897.73x = 465,381.24 × 168,389.06
  4. Step 4: Simplify right side
    310,897.73x = 78,365,107,218.33
  5. Step 5: Solve for x
    x = 78,365,107,218.33/310,897.73
  6. Step 6: Final answer
    x = 252,060.73

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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.