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Finding the Fourth Proportional to 359,906.04, 496,670.38 and 200,930.04

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Solution

The fourth proportional to 359,906.04, 496,670.38 and 200,930.04 is: 277,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,906.04 : 496,670.38 = 200,930.04 : x
  2. Step 2: Convert to fraction form
    359,906.04/496,670.38 = 200,930.04/x
  3. Step 3: Cross multiply
    359,906.04x = 496,670.38 × 200,930.04
  4. Step 4: Simplify right side
    359,906.04x = 99,795,999,320.22
  5. Step 5: Solve for x
    x = 99,795,999,320.22/359,906.04
  6. Step 6: Final answer
    x = 277,283.48

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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.