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Finding the Fourth Proportional to 416,422.14, 624,882.06 and 382,542.78

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Solution

The fourth proportional to 416,422.14, 624,882.06 and 382,542.78 is: 574,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,422.14 : 624,882.06 = 382,542.78 : x
  2. Step 2: Convert to fraction form
    416,422.14/624,882.06 = 382,542.78/x
  3. Step 3: Cross multiply
    416,422.14x = 624,882.06 × 382,542.78
  4. Step 4: Simplify right side
    416,422.14x = 239,044,118,061.22
  5. Step 5: Solve for x
    x = 239,044,118,061.22/416,422.14
  6. Step 6: Final answer
    x = 574,042.77

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1.5x scale

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.