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Finding the Fourth Proportional to 310,626.29, 465,945.27 and 97,389.48

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Solution

The fourth proportional to 310,626.29, 465,945.27 and 97,389.48 is: 146,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,626.29 : 465,945.27 = 97,389.48 : x
  2. Step 2: Convert to fraction form
    310,626.29/465,945.27 = 97,389.48/x
  3. Step 3: Cross multiply
    310,626.29x = 465,945.27 × 97,389.48
  4. Step 4: Simplify right side
    310,626.29x = 45,378,167,553.76
  5. Step 5: Solve for x
    x = 45,378,167,553.76/310,626.29
  6. Step 6: Final answer
    x = 146,086.05

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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.