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Finding the Fourth Proportional to 324,496.80, 486,388.80 and 114,026.40

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Solution

The fourth proportional to 324,496.80, 486,388.80 and 114,026.40 is: 170,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,496.80 : 486,388.80 = 114,026.40 : x
  2. Step 2: Convert to fraction form
    324,496.80/486,388.80 = 114,026.40/x
  3. Step 3: Cross multiply
    324,496.80x = 486,388.80 × 114,026.40
  4. Step 4: Simplify right side
    324,496.80x = 55,461,163,864.32
  5. Step 5: Solve for x
    x = 55,461,163,864.32/324,496.80
  6. Step 6: Final answer
    x = 170,914.36

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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.