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Finding the Fourth Proportional to 271,428.80, 407,143.20 and 201,444.80

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Solution

The fourth proportional to 271,428.80, 407,143.20 and 201,444.80 is: 302,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,428.80 : 407,143.20 = 201,444.80 : x
  2. Step 2: Convert to fraction form
    271,428.80/407,143.20 = 201,444.80/x
  3. Step 3: Cross multiply
    271,428.80x = 407,143.20 × 201,444.80
  4. Step 4: Simplify right side
    271,428.80x = 82,016,880,495.36
  5. Step 5: Solve for x
    x = 82,016,880,495.36/271,428.80
  6. Step 6: Final answer
    x = 302,167.20

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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.