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Finding the Fourth Proportional to 433,020.33, 644,964.42 and 413,591.57

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Solution

The fourth proportional to 433,020.33, 644,964.42 and 413,591.57 is: 616,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,020.33 : 644,964.42 = 413,591.57 : x
  2. Step 2: Convert to fraction form
    433,020.33/644,964.42 = 413,591.57/x
  3. Step 3: Cross multiply
    433,020.33x = 644,964.42 × 413,591.57
  4. Step 4: Simplify right side
    433,020.33x = 266,751,847,806.70
  5. Step 5: Solve for x
    x = 266,751,847,806.70/433,020.33
  6. Step 6: Final answer
    x = 616,026.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.