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Finding the Fourth Proportional to 472,975.80, 709,809.30 and 333,007.80

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Solution

The fourth proportional to 472,975.80, 709,809.30 and 333,007.80 is: 499,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,975.80 : 709,809.30 = 333,007.80 : x
  2. Step 2: Convert to fraction form
    472,975.80/709,809.30 = 333,007.80/x
  3. Step 3: Cross multiply
    472,975.80x = 709,809.30 × 333,007.80
  4. Step 4: Simplify right side
    472,975.80x = 236,372,033,412.54
  5. Step 5: Solve for x
    x = 236,372,033,412.54/472,975.80
  6. Step 6: Final answer
    x = 499,755.03

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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.