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Finding the Fourth Proportional to 333,544.40, 499,976.40 and 164,805.20

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Solution

The fourth proportional to 333,544.40, 499,976.40 and 164,805.20 is: 247,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,544.40 : 499,976.40 = 164,805.20 : x
  2. Step 2: Convert to fraction form
    333,544.40/499,976.40 = 164,805.20/x
  3. Step 3: Cross multiply
    333,544.40x = 499,976.40 × 164,805.20
  4. Step 4: Simplify right side
    333,544.40x = 82,398,710,597.28
  5. Step 5: Solve for x
    x = 82,398,710,597.28/333,544.40
  6. Step 6: Final answer
    x = 247,039.71

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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.