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Finding the Fourth Proportional to 313,233.50, 432,262.44 and 169,993.50

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Solution

The fourth proportional to 313,233.50, 432,262.44 and 169,993.50 is: 234,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,233.50 : 432,262.44 = 169,993.50 : x
  2. Step 2: Convert to fraction form
    313,233.50/432,262.44 = 169,993.50/x
  3. Step 3: Cross multiply
    313,233.50x = 432,262.44 × 169,993.50
  4. Step 4: Simplify right side
    313,233.50x = 73,481,805,094.14
  5. Step 5: Solve for x
    x = 73,481,805,094.14/313,233.50
  6. Step 6: Final answer
    x = 234,591.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.