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Finding the Fourth Proportional to 359,743, 496,453.26 and 198,597.64

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Solution

The fourth proportional to 359,743, 496,453.26 and 198,597.64 is: 274,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,743 : 496,453.26 = 198,597.64 : x
  2. Step 2: Convert to fraction form
    359,743/496,453.26 = 198,597.64/x
  3. Step 3: Cross multiply
    359,743x = 496,453.26 × 198,597.64
  4. Step 4: Simplify right side
    359,743x = 98,594,445,806.31
  5. Step 5: Solve for x
    x = 98,594,445,806.31/359,743
  6. Step 6: Final answer
    x = 274,069.12

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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.