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Finding the Fourth Proportional to 310,707.98, 465,873.34 and 202,717.56

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Solution

The fourth proportional to 310,707.98, 465,873.34 and 202,717.56 is: 303,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,707.98 : 465,873.34 = 202,717.56 : x
  2. Step 2: Convert to fraction form
    310,707.98/465,873.34 = 202,717.56/x
  3. Step 3: Cross multiply
    310,707.98x = 465,873.34 × 202,717.56
  4. Step 4: Simplify right side
    310,707.98x = 94,440,706,753.85
  5. Step 5: Solve for x
    x = 94,440,706,753.85/310,707.98
  6. Step 6: Final answer
    x = 303,953.27

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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.