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Finding the Fourth Proportional to 359,520.75, 496,154.43 and 206,608.14

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Solution

The fourth proportional to 359,520.75, 496,154.43 and 206,608.14 is: 285,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,520.75 : 496,154.43 = 206,608.14 : x
  2. Step 2: Convert to fraction form
    359,520.75/496,154.43 = 206,608.14/x
  3. Step 3: Cross multiply
    359,520.75x = 496,154.43 × 206,608.14
  4. Step 4: Simplify right side
    359,520.75x = 102,509,543,935.06
  5. Step 5: Solve for x
    x = 102,509,543,935.06/359,520.75
  6. Step 6: Final answer
    x = 285,128.31

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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.