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Finding the Fourth Proportional to 594,817.22, 820,575.87 and 413,960.42

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Solution

The fourth proportional to 594,817.22, 820,575.87 and 413,960.42 is: 571,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,817.22 : 820,575.87 = 413,960.42 : x
  2. Step 2: Convert to fraction form
    594,817.22/820,575.87 = 413,960.42/x
  3. Step 3: Cross multiply
    594,817.22x = 820,575.87 × 413,960.42
  4. Step 4: Simplify right side
    594,817.22x = 339,685,932,286.15
  5. Step 5: Solve for x
    x = 339,685,932,286.15/594,817.22
  6. Step 6: Final answer
    x = 571,076.15

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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.