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Finding the Fourth Proportional to 360,095.16, 496,960.44 and 198,964.32

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Solution

The fourth proportional to 360,095.16, 496,960.44 and 198,964.32 is: 274,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,095.16 : 496,960.44 = 198,964.32 : x
  2. Step 2: Convert to fraction form
    360,095.16/496,960.44 = 198,964.32/x
  3. Step 3: Cross multiply
    360,095.16x = 496,960.44 × 198,964.32
  4. Step 4: Simplify right side
    360,095.16x = 98,877,396,011.50
  5. Step 5: Solve for x
    x = 98,877,396,011.50/360,095.16
  6. Step 6: Final answer
    x = 274,586.85

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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.