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Finding the Fourth Proportional to 360,074.86, 496,913.34 and 198,940.30

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Solution

The fourth proportional to 360,074.86, 496,913.34 and 198,940.30 is: 274,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,074.86 : 496,913.34 = 198,940.30 : x
  2. Step 2: Convert to fraction form
    360,074.86/496,913.34 = 198,940.30/x
  3. Step 3: Cross multiply
    360,074.86x = 496,913.34 × 198,940.30
  4. Step 4: Simplify right side
    360,074.86x = 98,856,088,933.60
  5. Step 5: Solve for x
    x = 98,856,088,933.60/360,074.86
  6. Step 6: Final answer
    x = 274,543.16

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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.