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Finding the Fourth Proportional to 271,449.16, 407,173.74 and 147,033.16

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Solution

The fourth proportional to 271,449.16, 407,173.74 and 147,033.16 is: 220,549.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,449.16 : 407,173.74 = 147,033.16 : x
  2. Step 2: Convert to fraction form
    271,449.16/407,173.74 = 147,033.16/x
  3. Step 3: Cross multiply
    271,449.16x = 407,173.74 × 147,033.16
  4. Step 4: Simplify right side
    271,449.16x = 59,868,040,091.91
  5. Step 5: Solve for x
    x = 59,868,040,091.91/271,449.16
  6. Step 6: Final answer
    x = 220,549.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.