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Finding the Fourth Proportional to 594,375.50, 820,238.20 and 339,732.16

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Solution

The fourth proportional to 594,375.50, 820,238.20 and 339,732.16 is: 468,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,375.50 : 820,238.20 = 339,732.16 : x
  2. Step 2: Convert to fraction form
    594,375.50/820,238.20 = 339,732.16/x
  3. Step 3: Cross multiply
    594,375.50x = 820,238.20 × 339,732.16
  4. Step 4: Simplify right side
    594,375.50x = 278,661,292,500.59
  5. Step 5: Solve for x
    x = 278,661,292,500.59/594,375.50
  6. Step 6: Final answer
    x = 468,830.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.