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Finding the Fourth Proportional to 472,972.80, 709,804.80 and 333,004.80

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Solution

The fourth proportional to 472,972.80, 709,804.80 and 333,004.80 is: 499,750.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,972.80 : 709,804.80 = 333,004.80 : x
  2. Step 2: Convert to fraction form
    472,972.80/709,804.80 = 333,004.80/x
  3. Step 3: Cross multiply
    472,972.80x = 709,804.80 × 333,004.80
  4. Step 4: Simplify right side
    472,972.80x = 236,368,405,463.04
  5. Step 5: Solve for x
    x = 236,368,405,463.04/472,972.80
  6. Step 6: Final answer
    x = 499,750.53

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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.