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Finding the Fourth Proportional to 360,061, 496,878.30 and 198,922.84

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Solution

The fourth proportional to 360,061, 496,878.30 and 198,922.84 is: 274,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,061 : 496,878.30 = 198,922.84 : x
  2. Step 2: Convert to fraction form
    360,061/496,878.30 = 198,922.84/x
  3. Step 3: Cross multiply
    360,061x = 496,878.30 × 198,922.84
  4. Step 4: Simplify right side
    360,061x = 98,840,442,570.37
  5. Step 5: Solve for x
    x = 98,840,442,570.37/360,061
  6. Step 6: Final answer
    x = 274,510.27

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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.