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Finding the Fourth Proportional to 472,940.80, 709,756.80 and 332,972.80

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Solution

The fourth proportional to 472,940.80, 709,756.80 and 332,972.80 is: 499,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,940.80 : 709,756.80 = 332,972.80 : x
  2. Step 2: Convert to fraction form
    472,940.80/709,756.80 = 332,972.80/x
  3. Step 3: Cross multiply
    472,940.80x = 709,756.80 × 332,972.80
  4. Step 4: Simplify right side
    472,940.80x = 236,329,709,015.04
  5. Step 5: Solve for x
    x = 236,329,709,015.04/472,940.80
  6. Step 6: Final answer
    x = 499,702.52

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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.