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Finding the Fourth Proportional to 460,940, 691,481.24 and 157,263.06

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Solution

The fourth proportional to 460,940, 691,481.24 and 157,263.06 is: 235,918.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,940 : 691,481.24 = 157,263.06 : x
  2. Step 2: Convert to fraction form
    460,940/691,481.24 = 157,263.06/x
  3. Step 3: Cross multiply
    460,940x = 691,481.24 × 157,263.06
  4. Step 4: Simplify right side
    460,940x = 108,744,454,948.68
  5. Step 5: Solve for x
    x = 108,744,454,948.68/460,940
  6. Step 6: Final answer
    x = 235,918.89

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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.